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Finding the Third Proportional to 76,842 and 168,264

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Solution

The third proportional to 76,842 and 168,264 is: 368,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842 : 168,264 = 168,264 : x
  2. Step 2: Convert to fraction form
    76,842/168,264 = 168,264/x
  3. Step 3: Cross multiply
    76,842x = 168,264 × 168,264
  4. Step 4: Simplify right side
    76,842x = 28,312,773,696
  5. Step 5: Solve for x
    x = 28,312,773,696/76,842
  6. Step 6: Final answer
    x = 368,454.41

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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.