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Finding the Third Proportional to 188,031.75 and 402,307.50

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Solution

The third proportional to 188,031.75 and 402,307.50 is: 860,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,031.75 : 402,307.50 = 402,307.50 : x
  2. Step 2: Convert to fraction form
    188,031.75/402,307.50 = 402,307.50/x
  3. Step 3: Cross multiply
    188,031.75x = 402,307.50 × 402,307.50
  4. Step 4: Simplify right side
    188,031.75x = 161,851,324,556.25
  5. Step 5: Solve for x
    x = 161,851,324,556.25/188,031.75
  6. Step 6: Final answer
    x = 860,765.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.