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Finding the Third Proportional to 162,181.25 and 258,262

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Solution

The third proportional to 162,181.25 and 258,262 is: 411,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,181.25 : 258,262 = 258,262 : x
  2. Step 2: Convert to fraction form
    162,181.25/258,262 = 258,262/x
  3. Step 3: Cross multiply
    162,181.25x = 258,262 × 258,262
  4. Step 4: Simplify right side
    162,181.25x = 66,699,260,644
  5. Step 5: Solve for x
    x = 66,699,260,644/162,181.25
  6. Step 6: Final answer
    x = 411,263.70

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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.