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Finding the Third Proportional to 162,134.16 and 259,010.30

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Solution

The third proportional to 162,134.16 and 259,010.30 is: 413,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,134.16 : 259,010.30 = 259,010.30 : x
  2. Step 2: Convert to fraction form
    162,134.16/259,010.30 = 259,010.30/x
  3. Step 3: Cross multiply
    162,134.16x = 259,010.30 × 259,010.30
  4. Step 4: Simplify right side
    162,134.16x = 67,086,333,887.28
  5. Step 5: Solve for x
    x = 67,086,333,887.28/162,134.16
  6. Step 6: Final answer
    x = 413,770.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.