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Finding the Third Proportional to 268,282.13 and 583,156.13

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Solution

The third proportional to 268,282.13 and 583,156.13 is: 1,267,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,282.13 : 583,156.13 = 583,156.13 : x
  2. Step 2: Convert to fraction form
    268,282.13/583,156.13 = 583,156.13/x
  3. Step 3: Cross multiply
    268,282.13x = 583,156.13 × 583,156.13
  4. Step 4: Simplify right side
    268,282.13x = 340,071,066,125.02
  5. Step 5: Solve for x
    x = 340,071,066,125.02/268,282.13
  6. Step 6: Final answer
    x = 1,267,587.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.