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Finding the Third Proportional to 261,562.50 and 370,212.75

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Solution

The third proportional to 261,562.50 and 370,212.75 is: 523,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,562.50 : 370,212.75 = 370,212.75 : x
  2. Step 2: Convert to fraction form
    261,562.50/370,212.75 = 370,212.75/x
  3. Step 3: Cross multiply
    261,562.50x = 370,212.75 × 370,212.75
  4. Step 4: Simplify right side
    261,562.50x = 137,057,480,262.56
  5. Step 5: Solve for x
    x = 137,057,480,262.56/261,562.50
  6. Step 6: Final answer
    x = 523,995.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.