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Finding the Third Proportional to 132,337 and 288,468

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Solution

The third proportional to 132,337 and 288,468 is: 628,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,337 : 288,468 = 288,468 : x
  2. Step 2: Convert to fraction form
    132,337/288,468 = 288,468/x
  3. Step 3: Cross multiply
    132,337x = 288,468 × 288,468
  4. Step 4: Simplify right side
    132,337x = 83,213,787,024
  5. Step 5: Solve for x
    x = 83,213,787,024/132,337
  6. Step 6: Final answer
    x = 628,802.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.