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Finding the Third Proportional to 158,590.13 and 231,931.69

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Solution

The third proportional to 158,590.13 and 231,931.69 is: 339,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,590.13 : 231,931.69 = 231,931.69 : x
  2. Step 2: Convert to fraction form
    158,590.13/231,931.69 = 231,931.69/x
  3. Step 3: Cross multiply
    158,590.13x = 231,931.69 × 231,931.69
  4. Step 4: Simplify right side
    158,590.13x = 53,792,307,666.60
  5. Step 5: Solve for x
    x = 53,792,307,666.60/158,590.13
  6. Step 6: Final answer
    x = 339,190.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.