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Finding the Third Proportional to 188,026 and 402,295

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Solution

The third proportional to 188,026 and 402,295 is: 860,738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,026 : 402,295 = 402,295 : x
  2. Step 2: Convert to fraction form
    188,026/402,295 = 402,295/x
  3. Step 3: Cross multiply
    188,026x = 402,295 × 402,295
  4. Step 4: Simplify right side
    188,026x = 161,841,267,025
  5. Step 5: Solve for x
    x = 161,841,267,025/188,026
  6. Step 6: Final answer
    x = 860,738.76

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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.