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Finding the Third Proportional to 153,397.50 and 235,452

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Solution

The third proportional to 153,397.50 and 235,452 is: 361,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,397.50 : 235,452 = 235,452 : x
  2. Step 2: Convert to fraction form
    153,397.50/235,452 = 235,452/x
  3. Step 3: Cross multiply
    153,397.50x = 235,452 × 235,452
  4. Step 4: Simplify right side
    153,397.50x = 55,437,644,304
  5. Step 5: Solve for x
    x = 55,437,644,304/153,397.50
  6. Step 6: Final answer
    x = 361,398.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.