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Finding the Third Proportional to 170,842.29 and 262,952.58

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Solution

The third proportional to 170,842.29 and 262,952.58 is: 404,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,842.29 : 262,952.58 = 262,952.58 : x
  2. Step 2: Convert to fraction form
    170,842.29/262,952.58 = 262,952.58/x
  3. Step 3: Cross multiply
    170,842.29x = 262,952.58 × 262,952.58
  4. Step 4: Simplify right side
    170,842.29x = 69,144,058,342.58
  5. Step 5: Solve for x
    x = 69,144,058,342.58/170,842.29
  6. Step 6: Final answer
    x = 404,724.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.