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Finding the Third Proportional to 116,862.75 and 255,595.50

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Solution

The third proportional to 116,862.75 and 255,595.50 is: 559,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,862.75 : 255,595.50 = 255,595.50 : x
  2. Step 2: Convert to fraction form
    116,862.75/255,595.50 = 255,595.50/x
  3. Step 3: Cross multiply
    116,862.75x = 255,595.50 × 255,595.50
  4. Step 4: Simplify right side
    116,862.75x = 65,329,059,620.25
  5. Step 5: Solve for x
    x = 65,329,059,620.25/116,862.75
  6. Step 6: Final answer
    x = 559,023.81

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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.