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Finding the Third Proportional to 162,740 and 236,646

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Solution

The third proportional to 162,740 and 236,646 is: 344,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,740 : 236,646 = 236,646 : x
  2. Step 2: Convert to fraction form
    162,740/236,646 = 236,646/x
  3. Step 3: Cross multiply
    162,740x = 236,646 × 236,646
  4. Step 4: Simplify right side
    162,740x = 56,001,329,316
  5. Step 5: Solve for x
    x = 56,001,329,316/162,740
  6. Step 6: Final answer
    x = 344,115.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.