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Finding the Third Proportional to 177,894 and 277,047

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Solution

The third proportional to 177,894 and 277,047 is: 431,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,894 : 277,047 = 277,047 : x
  2. Step 2: Convert to fraction form
    177,894/277,047 = 277,047/x
  3. Step 3: Cross multiply
    177,894x = 277,047 × 277,047
  4. Step 4: Simplify right side
    177,894x = 76,755,040,209
  5. Step 5: Solve for x
    x = 76,755,040,209/177,894
  6. Step 6: Final answer
    x = 431,465.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.