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Finding the Third Proportional to 115,008.50 and 235,754

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Solution

The third proportional to 115,008.50 and 235,754 is: 483,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,008.50 : 235,754 = 235,754 : x
  2. Step 2: Convert to fraction form
    115,008.50/235,754 = 235,754/x
  3. Step 3: Cross multiply
    115,008.50x = 235,754 × 235,754
  4. Step 4: Simplify right side
    115,008.50x = 55,579,948,516
  5. Step 5: Solve for x
    x = 55,579,948,516/115,008.50
  6. Step 6: Final answer
    x = 483,268.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.