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Finding the Third Proportional to 182,386 and 291,366

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Solution

The third proportional to 182,386 and 291,366 is: 465,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,386 : 291,366 = 291,366 : x
  2. Step 2: Convert to fraction form
    182,386/291,366 = 291,366/x
  3. Step 3: Cross multiply
    182,386x = 291,366 × 291,366
  4. Step 4: Simplify right side
    182,386x = 84,894,145,956
  5. Step 5: Solve for x
    x = 84,894,145,956/182,386
  6. Step 6: Final answer
    x = 465,464.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.