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Finding the Third Proportional to 170,331.19 and 264,490.31

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Solution

The third proportional to 170,331.19 and 264,490.31 is: 410,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,331.19 : 264,490.31 = 264,490.31 : x
  2. Step 2: Convert to fraction form
    170,331.19/264,490.31 = 264,490.31/x
  3. Step 3: Cross multiply
    170,331.19x = 264,490.31 × 264,490.31
  4. Step 4: Simplify right side
    170,331.19x = 69,955,125,406.35
  5. Step 5: Solve for x
    x = 69,955,125,406.35/170,331.19
  6. Step 6: Final answer
    x = 410,700.63

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