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Finding the Third Proportional to 162,133.88 and 259,009.88

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Solution

The third proportional to 162,133.88 and 259,009.88 is: 413,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,133.88 : 259,009.88 = 259,009.88 : x
  2. Step 2: Convert to fraction form
    162,133.88/259,009.88 = 259,009.88/x
  3. Step 3: Cross multiply
    162,133.88x = 259,009.88 × 259,009.88
  4. Step 4: Simplify right side
    162,133.88x = 67,086,115,347.52
  5. Step 5: Solve for x
    x = 67,086,115,347.52/162,133.88
  6. Step 6: Final answer
    x = 413,769.89

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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.