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Finding the Third Proportional to 176,283 and 387,558

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Solution

The third proportional to 176,283 and 387,558 is: 852,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,283 : 387,558 = 387,558 : x
  2. Step 2: Convert to fraction form
    176,283/387,558 = 387,558/x
  3. Step 3: Cross multiply
    176,283x = 387,558 × 387,558
  4. Step 4: Simplify right side
    176,283x = 150,201,203,364
  5. Step 5: Solve for x
    x = 150,201,203,364/176,283
  6. Step 6: Final answer
    x = 852,045.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.