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Finding the Third Proportional to 169,248.25 and 371,092.25

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Solution

The third proportional to 169,248.25 and 371,092.25 is: 813,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,248.25 : 371,092.25 = 371,092.25 : x
  2. Step 2: Convert to fraction form
    169,248.25/371,092.25 = 371,092.25/x
  3. Step 3: Cross multiply
    169,248.25x = 371,092.25 × 371,092.25
  4. Step 4: Simplify right side
    169,248.25x = 137,709,458,010.06
  5. Step 5: Solve for x
    x = 137,709,458,010.06/169,248.25
  6. Step 6: Final answer
    x = 813,653.66

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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.