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Finding the Third Proportional to 112,586.50 and 247,316.50

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Solution

The third proportional to 112,586.50 and 247,316.50 is: 543,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,586.50 : 247,316.50 = 247,316.50 : x
  2. Step 2: Convert to fraction form
    112,586.50/247,316.50 = 247,316.50/x
  3. Step 3: Cross multiply
    112,586.50x = 247,316.50 × 247,316.50
  4. Step 4: Simplify right side
    112,586.50x = 61,165,451,172.25
  5. Step 5: Solve for x
    x = 61,165,451,172.25/112,586.50
  6. Step 6: Final answer
    x = 543,275.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.