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Finding the Third Proportional to 176,361 and 380,597

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Solution

The third proportional to 176,361 and 380,597 is: 821,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,361 : 380,597 = 380,597 : x
  2. Step 2: Convert to fraction form
    176,361/380,597 = 380,597/x
  3. Step 3: Cross multiply
    176,361x = 380,597 × 380,597
  4. Step 4: Simplify right side
    176,361x = 144,854,076,409
  5. Step 5: Solve for x
    x = 144,854,076,409/176,361
  6. Step 6: Final answer
    x = 821,349.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.