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Finding the Third Proportional to 162,208 and 258,301

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Solution

The third proportional to 162,208 and 258,301 is: 411,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,208 : 258,301 = 258,301 : x
  2. Step 2: Convert to fraction form
    162,208/258,301 = 258,301/x
  3. Step 3: Cross multiply
    162,208x = 258,301 × 258,301
  4. Step 4: Simplify right side
    162,208x = 66,719,406,601
  5. Step 5: Solve for x
    x = 66,719,406,601/162,208
  6. Step 6: Final answer
    x = 411,320.07

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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.