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Finding the Third Proportional to 153,192 and 235,416

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Solution

The third proportional to 153,192 and 235,416 is: 361,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,192 : 235,416 = 235,416 : x
  2. Step 2: Convert to fraction form
    153,192/235,416 = 235,416/x
  3. Step 3: Cross multiply
    153,192x = 235,416 × 235,416
  4. Step 4: Simplify right side
    153,192x = 55,420,693,056
  5. Step 5: Solve for x
    x = 55,420,693,056/153,192
  6. Step 6: Final answer
    x = 361,772.76

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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.