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Finding the Third Proportional to 163,349.16 and 263,157.61

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Solution

The third proportional to 163,349.16 and 263,157.61 is: 423,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,349.16 : 263,157.61 = 263,157.61 : x
  2. Step 2: Convert to fraction form
    163,349.16/263,157.61 = 263,157.61/x
  3. Step 3: Cross multiply
    163,349.16x = 263,157.61 × 263,157.61
  4. Step 4: Simplify right side
    163,349.16x = 69,251,927,371.97
  5. Step 5: Solve for x
    x = 69,251,927,371.97/163,349.16
  6. Step 6: Final answer
    x = 423,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.