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Finding the Third Proportional to 155,786 and 233,414

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Solution

The third proportional to 155,786 and 233,414 is: 349,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,786 : 233,414 = 233,414 : x
  2. Step 2: Convert to fraction form
    155,786/233,414 = 233,414/x
  3. Step 3: Cross multiply
    155,786x = 233,414 × 233,414
  4. Step 4: Simplify right side
    155,786x = 54,482,095,396
  5. Step 5: Solve for x
    x = 54,482,095,396/155,786
  6. Step 6: Final answer
    x = 349,723.95

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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.