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Finding the Third Proportional to 170,374.50 and 264,565.13

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Solution

The third proportional to 170,374.50 and 264,565.13 is: 410,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,374.50 : 264,565.13 = 264,565.13 : x
  2. Step 2: Convert to fraction form
    170,374.50/264,565.13 = 264,565.13/x
  3. Step 3: Cross multiply
    170,374.50x = 264,565.13 × 264,565.13
  4. Step 4: Simplify right side
    170,374.50x = 69,994,705,366.27
  5. Step 5: Solve for x
    x = 69,994,705,366.27/170,374.50
  6. Step 6: Final answer
    x = 410,828.53

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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.