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Finding the Third Proportional to 180,602 and 415,361

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Solution

The third proportional to 180,602 and 415,361 is: 955,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602 : 415,361 = 415,361 : x
  2. Step 2: Convert to fraction form
    180,602/415,361 = 415,361/x
  3. Step 3: Cross multiply
    180,602x = 415,361 × 415,361
  4. Step 4: Simplify right side
    180,602x = 172,524,760,321
  5. Step 5: Solve for x
    x = 172,524,760,321/180,602
  6. Step 6: Final answer
    x = 955,276.02

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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.