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Finding the Third Proportional to 76,473 and 165,246

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Solution

The third proportional to 76,473 and 165,246 is: 357,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,473 : 165,246 = 165,246 : x
  2. Step 2: Convert to fraction form
    76,473/165,246 = 165,246/x
  3. Step 3: Cross multiply
    76,473x = 165,246 × 165,246
  4. Step 4: Simplify right side
    76,473x = 27,306,240,516
  5. Step 5: Solve for x
    x = 27,306,240,516/76,473
  6. Step 6: Final answer
    x = 357,070.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.