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Finding the Third Proportional to 155,524 and 240,156

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Solution

The third proportional to 155,524 and 240,156 is: 370,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,524 : 240,156 = 240,156 : x
  2. Step 2: Convert to fraction form
    155,524/240,156 = 240,156/x
  3. Step 3: Cross multiply
    155,524x = 240,156 × 240,156
  4. Step 4: Simplify right side
    155,524x = 57,674,904,336
  5. Step 5: Solve for x
    x = 57,674,904,336/155,524
  6. Step 6: Final answer
    x = 370,842.47

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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.