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Finding the Third Proportional to 132,363 and 285,462

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Solution

The third proportional to 132,363 and 285,462 is: 615,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,363 : 285,462 = 285,462 : x
  2. Step 2: Convert to fraction form
    132,363/285,462 = 285,462/x
  3. Step 3: Cross multiply
    132,363x = 285,462 × 285,462
  4. Step 4: Simplify right side
    132,363x = 81,488,553,444
  5. Step 5: Solve for x
    x = 81,488,553,444/132,363
  6. Step 6: Final answer
    x = 615,644.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.