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Finding the Third Proportional to 153,016.50 and 331,443

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Solution

The third proportional to 153,016.50 and 331,443 is: 717,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,016.50 : 331,443 = 331,443 : x
  2. Step 2: Convert to fraction form
    153,016.50/331,443 = 331,443/x
  3. Step 3: Cross multiply
    153,016.50x = 331,443 × 331,443
  4. Step 4: Simplify right side
    153,016.50x = 109,854,462,249
  5. Step 5: Solve for x
    x = 109,854,462,249/153,016.50
  6. Step 6: Final answer
    x = 717,925.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.