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Finding the Third Proportional to 178,332 and 277,022

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Solution

The third proportional to 178,332 and 277,022 is: 430,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,332 : 277,022 = 277,022 : x
  2. Step 2: Convert to fraction form
    178,332/277,022 = 277,022/x
  3. Step 3: Cross multiply
    178,332x = 277,022 × 277,022
  4. Step 4: Simplify right side
    178,332x = 76,741,188,484
  5. Step 5: Solve for x
    x = 76,741,188,484/178,332
  6. Step 6: Final answer
    x = 430,327.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.