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Finding the Third Proportional to 188,034.50 and 402,312

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Solution

The third proportional to 188,034.50 and 402,312 is: 860,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,034.50 : 402,312 = 402,312 : x
  2. Step 2: Convert to fraction form
    188,034.50/402,312 = 402,312/x
  3. Step 3: Cross multiply
    188,034.50x = 402,312 × 402,312
  4. Step 4: Simplify right side
    188,034.50x = 161,854,945,344
  5. Step 5: Solve for x
    x = 161,854,945,344/188,034.50
  6. Step 6: Final answer
    x = 860,772.60

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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.