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Finding the Third Proportional to 175,156 and 277,396

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Solution

The third proportional to 175,156 and 277,396 is: 439,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,156 : 277,396 = 277,396 : x
  2. Step 2: Convert to fraction form
    175,156/277,396 = 277,396/x
  3. Step 3: Cross multiply
    175,156x = 277,396 × 277,396
  4. Step 4: Simplify right side
    175,156x = 76,948,540,816
  5. Step 5: Solve for x
    x = 76,948,540,816/175,156
  6. Step 6: Final answer
    x = 439,314.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.