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Finding the Third Proportional to 163,726.31 and 357,883.31

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Solution

The third proportional to 163,726.31 and 357,883.31 is: 782,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,726.31 : 357,883.31 = 357,883.31 : x
  2. Step 2: Convert to fraction form
    163,726.31/357,883.31 = 357,883.31/x
  3. Step 3: Cross multiply
    163,726.31x = 357,883.31 × 357,883.31
  4. Step 4: Simplify right side
    163,726.31x = 128,080,465,365.97
  5. Step 5: Solve for x
    x = 128,080,465,365.97/163,726.31
  6. Step 6: Final answer
    x = 782,283.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.