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Finding the Third Proportional to 187,764.75 and 288,207.75

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Solution

The third proportional to 187,764.75 and 288,207.75 is: 442,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,764.75 : 288,207.75 = 288,207.75 : x
  2. Step 2: Convert to fraction form
    187,764.75/288,207.75 = 288,207.75/x
  3. Step 3: Cross multiply
    187,764.75x = 288,207.75 × 288,207.75
  4. Step 4: Simplify right side
    187,764.75x = 83,063,707,160.06
  5. Step 5: Solve for x
    x = 83,063,707,160.06/187,764.75
  6. Step 6: Final answer
    x = 442,381.80

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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.