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Finding the Third Proportional to 157,338 and 235,962

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Solution

The third proportional to 157,338 and 235,962 is: 353,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,338 : 235,962 = 235,962 : x
  2. Step 2: Convert to fraction form
    157,338/235,962 = 235,962/x
  3. Step 3: Cross multiply
    157,338x = 235,962 × 235,962
  4. Step 4: Simplify right side
    157,338x = 55,678,065,444
  5. Step 5: Solve for x
    x = 55,678,065,444/157,338
  6. Step 6: Final answer
    x = 353,875.51

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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.