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Finding the Third Proportional to 157,264 and 235,320

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Solution

The third proportional to 157,264 and 235,320 is: 352,118.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,264 : 235,320 = 235,320 : x
  2. Step 2: Convert to fraction form
    157,264/235,320 = 235,320/x
  3. Step 3: Cross multiply
    157,264x = 235,320 × 235,320
  4. Step 4: Simplify right side
    157,264x = 55,375,502,400
  5. Step 5: Solve for x
    x = 55,375,502,400/157,264
  6. Step 6: Final answer
    x = 352,118.11

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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.