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Finding the Third Proportional to 233,605.13 and 358,117.88

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Solution

The third proportional to 233,605.13 and 358,117.88 is: 548,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,605.13 : 358,117.88 = 358,117.88 : x
  2. Step 2: Convert to fraction form
    233,605.13/358,117.88 = 358,117.88/x
  3. Step 3: Cross multiply
    233,605.13x = 358,117.88 × 358,117.88
  4. Step 4: Simplify right side
    233,605.13x = 128,248,412,394.52
  5. Step 5: Solve for x
    x = 128,248,412,394.52/233,605.13
  6. Step 6: Final answer
    x = 548,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.