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Finding the Third Proportional to 188,035 and 402,313

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Solution

The third proportional to 188,035 and 402,313 is: 860,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,035 : 402,313 = 402,313 : x
  2. Step 2: Convert to fraction form
    188,035/402,313 = 402,313/x
  3. Step 3: Cross multiply
    188,035x = 402,313 × 402,313
  4. Step 4: Simplify right side
    188,035x = 161,855,749,969
  5. Step 5: Solve for x
    x = 161,855,749,969/188,035
  6. Step 6: Final answer
    x = 860,774.59

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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.