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Finding the Third Proportional to 159,470.25 and 256,945.50

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Solution

The third proportional to 159,470.25 and 256,945.50 is: 414,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,470.25 : 256,945.50 = 256,945.50 : x
  2. Step 2: Convert to fraction form
    159,470.25/256,945.50 = 256,945.50/x
  3. Step 3: Cross multiply
    159,470.25x = 256,945.50 × 256,945.50
  4. Step 4: Simplify right side
    159,470.25x = 66,020,989,970.25
  5. Step 5: Solve for x
    x = 66,020,989,970.25/159,470.25
  6. Step 6: Final answer
    x = 414,001.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.