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Finding the Third Proportional to 76,866 and 168,312

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Solution

The third proportional to 76,866 and 168,312 is: 368,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,866 : 168,312 = 168,312 : x
  2. Step 2: Convert to fraction form
    76,866/168,312 = 168,312/x
  3. Step 3: Cross multiply
    76,866x = 168,312 × 168,312
  4. Step 4: Simplify right side
    76,866x = 28,328,929,344
  5. Step 5: Solve for x
    x = 28,328,929,344/76,866
  6. Step 6: Final answer
    x = 368,549.55

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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.