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Finding the Third Proportional to 153,882 and 231,835.50

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Solution

The third proportional to 153,882 and 231,835.50 is: 349,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,882 : 231,835.50 = 231,835.50 : x
  2. Step 2: Convert to fraction form
    153,882/231,835.50 = 231,835.50/x
  3. Step 3: Cross multiply
    153,882x = 231,835.50 × 231,835.50
  4. Step 4: Simplify right side
    153,882x = 53,747,699,060.25
  5. Step 5: Solve for x
    x = 53,747,699,060.25/153,882
  6. Step 6: Final answer
    x = 349,278.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.