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Finding the Third Proportional to 159,833.25 and 240,159.94

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Solution

The third proportional to 159,833.25 and 240,159.94 is: 360,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,833.25 : 240,159.94 = 240,159.94 : x
  2. Step 2: Convert to fraction form
    159,833.25/240,159.94 = 240,159.94/x
  3. Step 3: Cross multiply
    159,833.25x = 240,159.94 × 240,159.94
  4. Step 4: Simplify right side
    159,833.25x = 57,676,795,580.00
  5. Step 5: Solve for x
    x = 57,676,795,580.00/159,833.25
  6. Step 6: Final answer
    x = 360,856.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.