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Finding the Third Proportional to 152,987.48 and 327,024.84

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Solution

The third proportional to 152,987.48 and 327,024.84 is: 699,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,987.48 : 327,024.84 = 327,024.84 : x
  2. Step 2: Convert to fraction form
    152,987.48/327,024.84 = 327,024.84/x
  3. Step 3: Cross multiply
    152,987.48x = 327,024.84 × 327,024.84
  4. Step 4: Simplify right side
    152,987.48x = 106,945,248,429.71
  5. Step 5: Solve for x
    x = 106,945,248,429.71/152,987.48
  6. Step 6: Final answer
    x = 699,045.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.