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Finding the Third Proportional to 169,364 and 247,687

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Solution

The third proportional to 169,364 and 247,687 is: 362,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,364 : 247,687 = 247,687 : x
  2. Step 2: Convert to fraction form
    169,364/247,687 = 247,687/x
  3. Step 3: Cross multiply
    169,364x = 247,687 × 247,687
  4. Step 4: Simplify right side
    169,364x = 61,348,849,969
  5. Step 5: Solve for x
    x = 61,348,849,969/169,364
  6. Step 6: Final answer
    x = 362,230.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.