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Finding the Third Proportional to 180,776 and 375,889

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Solution

The third proportional to 180,776 and 375,889 is: 781,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,776 : 375,889 = 375,889 : x
  2. Step 2: Convert to fraction form
    180,776/375,889 = 375,889/x
  3. Step 3: Cross multiply
    180,776x = 375,889 × 375,889
  4. Step 4: Simplify right side
    180,776x = 141,292,540,321
  5. Step 5: Solve for x
    x = 141,292,540,321/180,776
  6. Step 6: Final answer
    x = 781,589.04

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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.