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Finding the Third Proportional to 109,604 and 239,498

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Solution

The third proportional to 109,604 and 239,498 is: 523,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,604 : 239,498 = 239,498 : x
  2. Step 2: Convert to fraction form
    109,604/239,498 = 239,498/x
  3. Step 3: Cross multiply
    109,604x = 239,498 × 239,498
  4. Step 4: Simplify right side
    109,604x = 57,359,292,004
  5. Step 5: Solve for x
    x = 57,359,292,004/109,604
  6. Step 6: Final answer
    x = 523,332.10

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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.