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Finding the Third Proportional to 160,946 and 244,875

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Solution

The third proportional to 160,946 and 244,875 is: 372,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,946 : 244,875 = 244,875 : x
  2. Step 2: Convert to fraction form
    160,946/244,875 = 244,875/x
  3. Step 3: Cross multiply
    160,946x = 244,875 × 244,875
  4. Step 4: Simplify right side
    160,946x = 59,963,765,625
  5. Step 5: Solve for x
    x = 59,963,765,625/160,946
  6. Step 6: Final answer
    x = 372,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.