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Finding the Third Proportional to 170,466.75 and 255,700.13

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Solution

The third proportional to 170,466.75 and 255,700.13 is: 383,550.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,466.75 : 255,700.13 = 255,700.13 : x
  2. Step 2: Convert to fraction form
    170,466.75/255,700.13 = 255,700.13/x
  3. Step 3: Cross multiply
    170,466.75x = 255,700.13 × 255,700.13
  4. Step 4: Simplify right side
    170,466.75x = 65,382,553,925.02
  5. Step 5: Solve for x
    x = 65,382,553,925.02/170,466.75
  6. Step 6: Final answer
    x = 383,550.19

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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.