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Finding the Third Proportional to 76,023 and 176,179.50

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Solution

The third proportional to 76,023 and 176,179.50 is: 408,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023 : 176,179.50 = 176,179.50 : x
  2. Step 2: Convert to fraction form
    76,023/176,179.50 = 176,179.50/x
  3. Step 3: Cross multiply
    76,023x = 176,179.50 × 176,179.50
  4. Step 4: Simplify right side
    76,023x = 31,039,216,220.25
  5. Step 5: Solve for x
    x = 31,039,216,220.25/76,023
  6. Step 6: Final answer
    x = 408,287.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.