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Finding the Third Proportional to 170,473.75 and 255,710.63

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Solution

The third proportional to 170,473.75 and 255,710.63 is: 383,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,473.75 : 255,710.63 = 255,710.63 : x
  2. Step 2: Convert to fraction form
    170,473.75/255,710.63 = 255,710.63/x
  3. Step 3: Cross multiply
    170,473.75x = 255,710.63 × 255,710.63
  4. Step 4: Simplify right side
    170,473.75x = 65,387,923,737.89
  5. Step 5: Solve for x
    x = 65,387,923,737.89/170,473.75
  6. Step 6: Final answer
    x = 383,565.94

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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.