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Finding the Third Proportional to 174,972 and 278,548

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Solution

The third proportional to 174,972 and 278,548 is: 443,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,972 : 278,548 = 278,548 : x
  2. Step 2: Convert to fraction form
    174,972/278,548 = 278,548/x
  3. Step 3: Cross multiply
    174,972x = 278,548 × 278,548
  4. Step 4: Simplify right side
    174,972x = 77,588,988,304
  5. Step 5: Solve for x
    x = 77,588,988,304/174,972
  6. Step 6: Final answer
    x = 443,436.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.