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Finding the Third Proportional to 218,547 and 337,527

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Solution

The third proportional to 218,547 and 337,527 is: 521,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,547 : 337,527 = 337,527 : x
  2. Step 2: Convert to fraction form
    218,547/337,527 = 337,527/x
  3. Step 3: Cross multiply
    218,547x = 337,527 × 337,527
  4. Step 4: Simplify right side
    218,547x = 113,924,475,729
  5. Step 5: Solve for x
    x = 113,924,475,729/218,547
  6. Step 6: Final answer
    x = 521,281.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.