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Finding the Third Proportional to 132,374 and 285,484

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Solution

The third proportional to 132,374 and 285,484 is: 615,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,374 : 285,484 = 285,484 : x
  2. Step 2: Convert to fraction form
    132,374/285,484 = 285,484/x
  3. Step 3: Cross multiply
    132,374x = 285,484 × 285,484
  4. Step 4: Simplify right side
    132,374x = 81,501,114,256
  5. Step 5: Solve for x
    x = 81,501,114,256/132,374
  6. Step 6: Final answer
    x = 615,688.23

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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.