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Finding the Third Proportional to 76,178.50 and 165,461

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Solution

The third proportional to 76,178.50 and 165,461 is: 359,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,178.50 : 165,461 = 165,461 : x
  2. Step 2: Convert to fraction form
    76,178.50/165,461 = 165,461/x
  3. Step 3: Cross multiply
    76,178.50x = 165,461 × 165,461
  4. Step 4: Simplify right side
    76,178.50x = 27,377,342,521
  5. Step 5: Solve for x
    x = 27,377,342,521/76,178.50
  6. Step 6: Final answer
    x = 359,384.11

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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.