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Finding the Third Proportional to 158,754 and 215,605

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Solution

The third proportional to 158,754 and 215,605 is: 292,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,754 : 215,605 = 215,605 : x
  2. Step 2: Convert to fraction form
    158,754/215,605 = 215,605/x
  3. Step 3: Cross multiply
    158,754x = 215,605 × 215,605
  4. Step 4: Simplify right side
    158,754x = 46,485,516,025
  5. Step 5: Solve for x
    x = 46,485,516,025/158,754
  6. Step 6: Final answer
    x = 292,814.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.