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Finding the Third Proportional to 113,422.50 and 247,597.50

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Solution

The third proportional to 113,422.50 and 247,597.50 is: 540,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,422.50 : 247,597.50 = 247,597.50 : x
  2. Step 2: Convert to fraction form
    113,422.50/247,597.50 = 247,597.50/x
  3. Step 3: Cross multiply
    113,422.50x = 247,597.50 × 247,597.50
  4. Step 4: Simplify right side
    113,422.50x = 61,304,522,006.25
  5. Step 5: Solve for x
    x = 61,304,522,006.25/113,422.50
  6. Step 6: Final answer
    x = 540,497.01

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.