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Finding the Third Proportional to 161,566 and 254,105

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Solution

The third proportional to 161,566 and 254,105 is: 399,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,566 : 254,105 = 254,105 : x
  2. Step 2: Convert to fraction form
    161,566/254,105 = 254,105/x
  3. Step 3: Cross multiply
    161,566x = 254,105 × 254,105
  4. Step 4: Simplify right side
    161,566x = 64,569,351,025
  5. Step 5: Solve for x
    x = 64,569,351,025/161,566
  6. Step 6: Final answer
    x = 399,646.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.