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Finding the Third Proportional to 160,186 and 240,279

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Solution

The third proportional to 160,186 and 240,279 is: 360,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,186 : 240,279 = 240,279 : x
  2. Step 2: Convert to fraction form
    160,186/240,279 = 240,279/x
  3. Step 3: Cross multiply
    160,186x = 240,279 × 240,279
  4. Step 4: Simplify right side
    160,186x = 57,733,997,841
  5. Step 5: Solve for x
    x = 57,733,997,841/160,186
  6. Step 6: Final answer
    x = 360,418.50

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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.