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Finding the Third Proportional to 109,332 and 239,588

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Solution

The third proportional to 109,332 and 239,588 is: 525,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,332 : 239,588 = 239,588 : x
  2. Step 2: Convert to fraction form
    109,332/239,588 = 239,588/x
  3. Step 3: Cross multiply
    109,332x = 239,588 × 239,588
  4. Step 4: Simplify right side
    109,332x = 57,402,409,744
  5. Step 5: Solve for x
    x = 57,402,409,744/109,332
  6. Step 6: Final answer
    x = 525,028.44

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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.