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Finding the Third Proportional to 159,032 and 245,928

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Solution

The third proportional to 159,032 and 245,928 is: 380,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032 : 245,928 = 245,928 : x
  2. Step 2: Convert to fraction form
    159,032/245,928 = 245,928/x
  3. Step 3: Cross multiply
    159,032x = 245,928 × 245,928
  4. Step 4: Simplify right side
    159,032x = 60,480,581,184
  5. Step 5: Solve for x
    x = 60,480,581,184/159,032
  6. Step 6: Final answer
    x = 380,304.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.