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Finding the Third Proportional to 157,536 and 235,275

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Solution

The third proportional to 157,536 and 235,275 is: 351,375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,536 : 235,275 = 235,275 : x
  2. Step 2: Convert to fraction form
    157,536/235,275 = 235,275/x
  3. Step 3: Cross multiply
    157,536x = 235,275 × 235,275
  4. Step 4: Simplify right side
    157,536x = 55,354,325,625
  5. Step 5: Solve for x
    x = 55,354,325,625/157,536
  6. Step 6: Final answer
    x = 351,375.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.