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Finding the Third Proportional to 160,727.63 and 240,301.69

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Solution

The third proportional to 160,727.63 and 240,301.69 is: 359,271.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,727.63 : 240,301.69 = 240,301.69 : x
  2. Step 2: Convert to fraction form
    160,727.63/240,301.69 = 240,301.69/x
  3. Step 3: Cross multiply
    160,727.63x = 240,301.69 × 240,301.69
  4. Step 4: Simplify right side
    160,727.63x = 57,744,901,015.35
  5. Step 5: Solve for x
    x = 57,744,901,015.35/160,727.63
  6. Step 6: Final answer
    x = 359,271.79

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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.