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Finding the Third Proportional to 162,117.56 and 258,986.25

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Solution

The third proportional to 162,117.56 and 258,986.25 is: 413,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,117.56 : 258,986.25 = 258,986.25 : x
  2. Step 2: Convert to fraction form
    162,117.56/258,986.25 = 258,986.25/x
  3. Step 3: Cross multiply
    162,117.56x = 258,986.25 × 258,986.25
  4. Step 4: Simplify right side
    162,117.56x = 67,073,877,689.06
  5. Step 5: Solve for x
    x = 67,073,877,689.06/162,117.56
  6. Step 6: Final answer
    x = 413,736.04

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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.