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Finding the Third Proportional to 162,118.88 and 258,987.94

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Solution

The third proportional to 162,118.88 and 258,987.94 is: 413,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,118.88 : 258,987.94 = 258,987.94 : x
  2. Step 2: Convert to fraction form
    162,118.88/258,987.94 = 258,987.94/x
  3. Step 3: Cross multiply
    162,118.88x = 258,987.94 × 258,987.94
  4. Step 4: Simplify right side
    162,118.88x = 67,074,751,770.50
  5. Step 5: Solve for x
    x = 67,074,751,770.50/162,118.88
  6. Step 6: Final answer
    x = 413,738.08

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