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Finding the Third Proportional to 113,407.50 and 247,569

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Solution

The third proportional to 113,407.50 and 247,569 is: 540,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,407.50 : 247,569 = 247,569 : x
  2. Step 2: Convert to fraction form
    113,407.50/247,569 = 247,569/x
  3. Step 3: Cross multiply
    113,407.50x = 247,569 × 247,569
  4. Step 4: Simplify right side
    113,407.50x = 61,290,409,761
  5. Step 5: Solve for x
    x = 61,290,409,761/113,407.50
  6. Step 6: Final answer
    x = 540,444.06

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Why These Related Problems?

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