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Finding the Third Proportional to 177,876 and 370,332

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Solution

The third proportional to 177,876 and 370,332 is: 771,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,876 : 370,332 = 370,332 : x
  2. Step 2: Convert to fraction form
    177,876/370,332 = 370,332/x
  3. Step 3: Cross multiply
    177,876x = 370,332 × 370,332
  4. Step 4: Simplify right side
    177,876x = 137,145,790,224
  5. Step 5: Solve for x
    x = 137,145,790,224/177,876
  6. Step 6: Final answer
    x = 771,019.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.