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Finding the Third Proportional to 169,948.88 and 396,925.50

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Solution

The third proportional to 169,948.88 and 396,925.50 is: 927,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,948.88 : 396,925.50 = 396,925.50 : x
  2. Step 2: Convert to fraction form
    169,948.88/396,925.50 = 396,925.50/x
  3. Step 3: Cross multiply
    169,948.88x = 396,925.50 × 396,925.50
  4. Step 4: Simplify right side
    169,948.88x = 157,549,852,550.25
  5. Step 5: Solve for x
    x = 157,549,852,550.25/169,948.88
  6. Step 6: Final answer
    x = 927,042.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.