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Finding the Third Proportional to 250,715.25 and 370,539.56

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Solution

The third proportional to 250,715.25 and 370,539.56 is: 547,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,715.25 : 370,539.56 = 370,539.56 : x
  2. Step 2: Convert to fraction form
    250,715.25/370,539.56 = 370,539.56/x
  3. Step 3: Cross multiply
    250,715.25x = 370,539.56 × 370,539.56
  4. Step 4: Simplify right side
    250,715.25x = 137,299,567,377.69
  5. Step 5: Solve for x
    x = 137,299,567,377.69/250,715.25
  6. Step 6: Final answer
    x = 547,631.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.