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Finding the Third Proportional to 162,749.25 and 258,977.25

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Solution

The third proportional to 162,749.25 and 258,977.25 is: 412,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,749.25 : 258,977.25 = 258,977.25 : x
  2. Step 2: Convert to fraction form
    162,749.25/258,977.25 = 258,977.25/x
  3. Step 3: Cross multiply
    162,749.25x = 258,977.25 × 258,977.25
  4. Step 4: Simplify right side
    162,749.25x = 67,069,216,017.56
  5. Step 5: Solve for x
    x = 67,069,216,017.56/162,749.25
  6. Step 6: Final answer
    x = 412,101.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.