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Finding the Third Proportional to 152,976.38 and 215,044.03

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Solution

The third proportional to 152,976.38 and 215,044.03 is: 302,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,976.38 : 215,044.03 = 215,044.03 : x
  2. Step 2: Convert to fraction form
    152,976.38/215,044.03 = 215,044.03/x
  3. Step 3: Cross multiply
    152,976.38x = 215,044.03 × 215,044.03
  4. Step 4: Simplify right side
    152,976.38x = 46,243,935,376.25
  5. Step 5: Solve for x
    x = 46,243,935,376.25/152,976.38
  6. Step 6: Final answer
    x = 302,294.62

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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.