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Finding the Third Proportional to 160,232 and 370,924

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Solution

The third proportional to 160,232 and 370,924 is: 858,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,232 : 370,924 = 370,924 : x
  2. Step 2: Convert to fraction form
    160,232/370,924 = 370,924/x
  3. Step 3: Cross multiply
    160,232x = 370,924 × 370,924
  4. Step 4: Simplify right side
    160,232x = 137,584,613,776
  5. Step 5: Solve for x
    x = 137,584,613,776/160,232
  6. Step 6: Final answer
    x = 858,658.78

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.