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Finding the Third Proportional to 115,851.50 and 253,846

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Solution

The third proportional to 115,851.50 and 253,846 is: 556,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,851.50 : 253,846 = 253,846 : x
  2. Step 2: Convert to fraction form
    115,851.50/253,846 = 253,846/x
  3. Step 3: Cross multiply
    115,851.50x = 253,846 × 253,846
  4. Step 4: Simplify right side
    115,851.50x = 64,437,791,716
  5. Step 5: Solve for x
    x = 64,437,791,716/115,851.50
  6. Step 6: Final answer
    x = 556,210.25

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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.