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Finding the Third Proportional to 180,360 and 415,692

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Solution

The third proportional to 180,360 and 415,692 is: 958,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,360 : 415,692 = 415,692 : x
  2. Step 2: Convert to fraction form
    180,360/415,692 = 415,692/x
  3. Step 3: Cross multiply
    180,360x = 415,692 × 415,692
  4. Step 4: Simplify right side
    180,360x = 172,799,838,864
  5. Step 5: Solve for x
    x = 172,799,838,864/180,360
  6. Step 6: Final answer
    x = 958,082.94

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.