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Finding the Third Proportional to 162,407 and 238,687

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Solution

The third proportional to 162,407 and 238,687 is: 350,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,407 : 238,687 = 238,687 : x
  2. Step 2: Convert to fraction form
    162,407/238,687 = 238,687/x
  3. Step 3: Cross multiply
    162,407x = 238,687 × 238,687
  4. Step 4: Simplify right side
    162,407x = 56,971,483,969
  5. Step 5: Solve for x
    x = 56,971,483,969/162,407
  6. Step 6: Final answer
    x = 350,794.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.