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Finding the Third Proportional to 162,118.50 and 258,988

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Solution

The third proportional to 162,118.50 and 258,988 is: 413,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,118.50 : 258,988 = 258,988 : x
  2. Step 2: Convert to fraction form
    162,118.50/258,988 = 258,988/x
  3. Step 3: Cross multiply
    162,118.50x = 258,988 × 258,988
  4. Step 4: Simplify right side
    162,118.50x = 67,074,784,144
  5. Step 5: Solve for x
    x = 67,074,784,144/162,118.50
  6. Step 6: Final answer
    x = 413,739.23

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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.