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Finding the Third Proportional to 124,328.25 and 271,428.75

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Solution

The third proportional to 124,328.25 and 271,428.75 is: 592,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,328.25 : 271,428.75 = 271,428.75 : x
  2. Step 2: Convert to fraction form
    124,328.25/271,428.75 = 271,428.75/x
  3. Step 3: Cross multiply
    124,328.25x = 271,428.75 × 271,428.75
  4. Step 4: Simplify right side
    124,328.25x = 73,673,566,326.56
  5. Step 5: Solve for x
    x = 73,673,566,326.56/124,328.25
  6. Step 6: Final answer
    x = 592,573.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.