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Finding the Third Proportional to 77,234 and 169,229

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Solution

The third proportional to 77,234 and 169,229 is: 370,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234 : 169,229 = 169,229 : x
  2. Step 2: Convert to fraction form
    77,234/169,229 = 169,229/x
  3. Step 3: Cross multiply
    77,234x = 169,229 × 169,229
  4. Step 4: Simplify right side
    77,234x = 28,638,454,441
  5. Step 5: Solve for x
    x = 28,638,454,441/77,234
  6. Step 6: Final answer
    x = 370,801.13

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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.