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Finding the Third Proportional to 163,645.31 and 251,448.05

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Solution

The third proportional to 163,645.31 and 251,448.05 is: 386,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,645.31 : 251,448.05 = 251,448.05 : x
  2. Step 2: Convert to fraction form
    163,645.31/251,448.05 = 251,448.05/x
  3. Step 3: Cross multiply
    163,645.31x = 251,448.05 × 251,448.05
  4. Step 4: Simplify right side
    163,645.31x = 63,226,120,277.25
  5. Step 5: Solve for x
    x = 63,226,120,277.25/163,645.31
  6. Step 6: Final answer
    x = 386,360.72

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