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Finding the Third Proportional to 124,365.50 and 266,474.50

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Solution

The third proportional to 124,365.50 and 266,474.50 is: 570,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,365.50 : 266,474.50 = 266,474.50 : x
  2. Step 2: Convert to fraction form
    124,365.50/266,474.50 = 266,474.50/x
  3. Step 3: Cross multiply
    124,365.50x = 266,474.50 × 266,474.50
  4. Step 4: Simplify right side
    124,365.50x = 71,008,659,150.25
  5. Step 5: Solve for x
    x = 71,008,659,150.25/124,365.50
  6. Step 6: Final answer
    x = 570,967.50

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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.