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Finding the Third Proportional to 109,598 and 239,487

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Solution

The third proportional to 109,598 and 239,487 is: 523,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,598 : 239,487 = 239,487 : x
  2. Step 2: Convert to fraction form
    109,598/239,487 = 239,487/x
  3. Step 3: Cross multiply
    109,598x = 239,487 × 239,487
  4. Step 4: Simplify right side
    109,598x = 57,354,023,169
  5. Step 5: Solve for x
    x = 57,354,023,169/109,598
  6. Step 6: Final answer
    x = 523,312.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.