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Finding the Third Proportional to 153,034.50 and 215,124

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Solution

The third proportional to 153,034.50 and 215,124 is: 302,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,034.50 : 215,124 = 215,124 : x
  2. Step 2: Convert to fraction form
    153,034.50/215,124 = 215,124/x
  3. Step 3: Cross multiply
    153,034.50x = 215,124 × 215,124
  4. Step 4: Simplify right side
    153,034.50x = 46,278,335,376
  5. Step 5: Solve for x
    x = 46,278,335,376/153,034.50
  6. Step 6: Final answer
    x = 302,404.59

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.