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Finding the Third Proportional to 157,709 and 236,329

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Solution

The third proportional to 157,709 and 236,329 is: 354,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,709 : 236,329 = 236,329 : x
  2. Step 2: Convert to fraction form
    157,709/236,329 = 236,329/x
  3. Step 3: Cross multiply
    157,709x = 236,329 × 236,329
  4. Step 4: Simplify right side
    157,709x = 55,851,396,241
  5. Step 5: Solve for x
    x = 55,851,396,241/157,709
  6. Step 6: Final answer
    x = 354,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.