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Finding the Third Proportional to 76,498 and 165,702

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Solution

The third proportional to 76,498 and 165,702 is: 358,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498 : 165,702 = 165,702 : x
  2. Step 2: Convert to fraction form
    76,498/165,702 = 165,702/x
  3. Step 3: Cross multiply
    76,498x = 165,702 × 165,702
  4. Step 4: Simplify right side
    76,498x = 27,457,152,804
  5. Step 5: Solve for x
    x = 27,457,152,804/76,498
  6. Step 6: Final answer
    x = 358,926.41

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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.