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Finding the Third Proportional to 253,095.75 and 356,011.50

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Solution

The third proportional to 253,095.75 and 356,011.50 is: 500,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,095.75 : 356,011.50 = 356,011.50 : x
  2. Step 2: Convert to fraction form
    253,095.75/356,011.50 = 356,011.50/x
  3. Step 3: Cross multiply
    253,095.75x = 356,011.50 × 356,011.50
  4. Step 4: Simplify right side
    253,095.75x = 126,744,188,132.25
  5. Step 5: Solve for x
    x = 126,744,188,132.25/253,095.75
  6. Step 6: Final answer
    x = 500,775.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.