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Finding the Third Proportional to 153,164 and 235,366

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Solution

The third proportional to 153,164 and 235,366 is: 361,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,164 : 235,366 = 235,366 : x
  2. Step 2: Convert to fraction form
    153,164/235,366 = 235,366/x
  3. Step 3: Cross multiply
    153,164x = 235,366 × 235,366
  4. Step 4: Simplify right side
    153,164x = 55,397,153,956
  5. Step 5: Solve for x
    x = 55,397,153,956/153,164
  6. Step 6: Final answer
    x = 361,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.