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Finding the Third Proportional to 120,515.25 and 230,095.50

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Solution

The third proportional to 120,515.25 and 230,095.50 is: 439,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,515.25 : 230,095.50 = 230,095.50 : x
  2. Step 2: Convert to fraction form
    120,515.25/230,095.50 = 230,095.50/x
  3. Step 3: Cross multiply
    120,515.25x = 230,095.50 × 230,095.50
  4. Step 4: Simplify right side
    120,515.25x = 52,943,939,120.25
  5. Step 5: Solve for x
    x = 52,943,939,120.25/120,515.25
  6. Step 6: Final answer
    x = 439,313.19

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.