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Finding the Third Proportional to 155,716 and 240,834

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Solution

The third proportional to 155,716 and 240,834 is: 372,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,716 : 240,834 = 240,834 : x
  2. Step 2: Convert to fraction form
    155,716/240,834 = 240,834/x
  3. Step 3: Cross multiply
    155,716x = 240,834 × 240,834
  4. Step 4: Simplify right side
    155,716x = 58,001,015,556
  5. Step 5: Solve for x
    x = 58,001,015,556/155,716
  6. Step 6: Final answer
    x = 372,479.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.