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Finding the Third Proportional to 162,182 and 258,263

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Solution

The third proportional to 162,182 and 258,263 is: 411,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,182 : 258,263 = 258,263 : x
  2. Step 2: Convert to fraction form
    162,182/258,263 = 258,263/x
  3. Step 3: Cross multiply
    162,182x = 258,263 × 258,263
  4. Step 4: Simplify right side
    162,182x = 66,699,777,169
  5. Step 5: Solve for x
    x = 66,699,777,169/162,182
  6. Step 6: Final answer
    x = 411,264.98

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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.