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Finding the Third Proportional to 161,292 and 250,254

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Solution

The third proportional to 161,292 and 250,254 is: 388,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,292 : 250,254 = 250,254 : x
  2. Step 2: Convert to fraction form
    161,292/250,254 = 250,254/x
  3. Step 3: Cross multiply
    161,292x = 250,254 × 250,254
  4. Step 4: Simplify right side
    161,292x = 62,627,064,516
  5. Step 5: Solve for x
    x = 62,627,064,516/161,292
  6. Step 6: Final answer
    x = 388,283.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.