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Finding the Third Proportional to 120,513.75 and 230,092.50

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Solution

The third proportional to 120,513.75 and 230,092.50 is: 439,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,513.75 : 230,092.50 = 230,092.50 : x
  2. Step 2: Convert to fraction form
    120,513.75/230,092.50 = 230,092.50/x
  3. Step 3: Cross multiply
    120,513.75x = 230,092.50 × 230,092.50
  4. Step 4: Simplify right side
    120,513.75x = 52,942,558,556.25
  5. Step 5: Solve for x
    x = 52,942,558,556.25/120,513.75
  6. Step 6: Final answer
    x = 439,307.20

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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.