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Finding the Third Proportional to 243,984 and 380,216

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Solution

The third proportional to 243,984 and 380,216 is: 592,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,984 : 380,216 = 380,216 : x
  2. Step 2: Convert to fraction form
    243,984/380,216 = 380,216/x
  3. Step 3: Cross multiply
    243,984x = 380,216 × 380,216
  4. Step 4: Simplify right side
    243,984x = 144,564,206,656
  5. Step 5: Solve for x
    x = 144,564,206,656/243,984
  6. Step 6: Final answer
    x = 592,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.