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Finding the Third Proportional to 167,577 and 359,140.50

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Solution

The third proportional to 167,577 and 359,140.50 is: 769,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,577 : 359,140.50 = 359,140.50 : x
  2. Step 2: Convert to fraction form
    167,577/359,140.50 = 359,140.50/x
  3. Step 3: Cross multiply
    167,577x = 359,140.50 × 359,140.50
  4. Step 4: Simplify right side
    167,577x = 128,981,898,740.25
  5. Step 5: Solve for x
    x = 128,981,898,740.25/167,577
  6. Step 6: Final answer
    x = 769,687.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.