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Finding the Third Proportional to 169,357 and 255,470.50

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Solution

The third proportional to 169,357 and 255,470.50 is: 385,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,357 : 255,470.50 = 255,470.50 : x
  2. Step 2: Convert to fraction form
    169,357/255,470.50 = 255,470.50/x
  3. Step 3: Cross multiply
    169,357x = 255,470.50 × 255,470.50
  4. Step 4: Simplify right side
    169,357x = 65,265,176,370.25
  5. Step 5: Solve for x
    x = 65,265,176,370.25/169,357
  6. Step 6: Final answer
    x = 385,370.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.