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Finding the Third Proportional to 107,302 and 160,386

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Solution

The third proportional to 107,302 and 160,386 is: 239,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,302 : 160,386 = 160,386 : x
  2. Step 2: Convert to fraction form
    107,302/160,386 = 160,386/x
  3. Step 3: Cross multiply
    107,302x = 160,386 × 160,386
  4. Step 4: Simplify right side
    107,302x = 25,723,668,996
  5. Step 5: Solve for x
    x = 25,723,668,996/107,302
  6. Step 6: Final answer
    x = 239,731.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.