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Finding the Third Proportional to 158,744 and 215,590

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Solution

The third proportional to 158,744 and 215,590 is: 292,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,744 : 215,590 = 215,590 : x
  2. Step 2: Convert to fraction form
    158,744/215,590 = 215,590/x
  3. Step 3: Cross multiply
    158,744x = 215,590 × 215,590
  4. Step 4: Simplify right side
    158,744x = 46,479,048,100
  5. Step 5: Solve for x
    x = 46,479,048,100/158,744
  6. Step 6: Final answer
    x = 292,792.47

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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.