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Finding the Third Proportional to 160,443.36 and 240,165.28

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Solution

The third proportional to 160,443.36 and 240,165.28 is: 359,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,443.36 : 240,165.28 = 240,165.28 : x
  2. Step 2: Convert to fraction form
    160,443.36/240,165.28 = 240,165.28/x
  3. Step 3: Cross multiply
    160,443.36x = 240,165.28 × 240,165.28
  4. Step 4: Simplify right side
    160,443.36x = 57,679,360,207.06
  5. Step 5: Solve for x
    x = 57,679,360,207.06/160,443.36
  6. Step 6: Final answer
    x = 359,499.83

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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.