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Finding the Third Proportional to 157,292 and 250,190

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Solution

The third proportional to 157,292 and 250,190 is: 397,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,292 : 250,190 = 250,190 : x
  2. Step 2: Convert to fraction form
    157,292/250,190 = 250,190/x
  3. Step 3: Cross multiply
    157,292x = 250,190 × 250,190
  4. Step 4: Simplify right side
    157,292x = 62,595,036,100
  5. Step 5: Solve for x
    x = 62,595,036,100/157,292
  6. Step 6: Final answer
    x = 397,954.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.