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Finding the Third Proportional to 132,365 and 285,466

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Solution

The third proportional to 132,365 and 285,466 is: 615,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,365 : 285,466 = 285,466 : x
  2. Step 2: Convert to fraction form
    132,365/285,466 = 285,466/x
  3. Step 3: Cross multiply
    132,365x = 285,466 × 285,466
  4. Step 4: Simplify right side
    132,365x = 81,490,837,156
  5. Step 5: Solve for x
    x = 81,490,837,156/132,365
  6. Step 6: Final answer
    x = 615,652.45

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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.