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Finding the Third Proportional to 137,498 and 288,832

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Solution

The third proportional to 137,498 and 288,832 is: 606,728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,498 : 288,832 = 288,832 : x
  2. Step 2: Convert to fraction form
    137,498/288,832 = 288,832/x
  3. Step 3: Cross multiply
    137,498x = 288,832 × 288,832
  4. Step 4: Simplify right side
    137,498x = 83,423,924,224
  5. Step 5: Solve for x
    x = 83,423,924,224/137,498
  6. Step 6: Final answer
    x = 606,728.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.