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Finding the Third Proportional to 75,444.50 and 165,397

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Solution

The third proportional to 75,444.50 and 165,397 is: 362,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,444.50 : 165,397 = 165,397 : x
  2. Step 2: Convert to fraction form
    75,444.50/165,397 = 165,397/x
  3. Step 3: Cross multiply
    75,444.50x = 165,397 × 165,397
  4. Step 4: Simplify right side
    75,444.50x = 27,356,167,609
  5. Step 5: Solve for x
    x = 27,356,167,609/75,444.50
  6. Step 6: Final answer
    x = 362,599.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.