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Finding the Third Proportional to 76,495 and 165,698

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Solution

The third proportional to 76,495 and 165,698 is: 358,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495 : 165,698 = 165,698 : x
  2. Step 2: Convert to fraction form
    76,495/165,698 = 165,698/x
  3. Step 3: Cross multiply
    76,495x = 165,698 × 165,698
  4. Step 4: Simplify right side
    76,495x = 27,455,827,204
  5. Step 5: Solve for x
    x = 27,455,827,204/76,495
  6. Step 6: Final answer
    x = 358,923.16

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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.