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Finding the Third Proportional to 76,437 and 168,000.75

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Solution

The third proportional to 76,437 and 168,000.75 is: 369,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437 : 168,000.75 = 168,000.75 : x
  2. Step 2: Convert to fraction form
    76,437/168,000.75 = 168,000.75/x
  3. Step 3: Cross multiply
    76,437x = 168,000.75 × 168,000.75
  4. Step 4: Simplify right side
    76,437x = 28,224,252,000.56
  5. Step 5: Solve for x
    x = 28,224,252,000.56/76,437
  6. Step 6: Final answer
    x = 369,248.56

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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.