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Finding the Third Proportional to 153,024 and 229,536.75

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Solution

The third proportional to 153,024 and 229,536.75 is: 344,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,024 : 229,536.75 = 229,536.75 : x
  2. Step 2: Convert to fraction form
    153,024/229,536.75 = 229,536.75/x
  3. Step 3: Cross multiply
    153,024x = 229,536.75 × 229,536.75
  4. Step 4: Simplify right side
    153,024x = 52,687,119,600.56
  5. Step 5: Solve for x
    x = 52,687,119,600.56/153,024
  6. Step 6: Final answer
    x = 344,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.