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Finding the Third Proportional to 188,026.31 and 402,291.56

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Solution

The third proportional to 188,026.31 and 402,291.56 is: 860,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,026.31 : 402,291.56 = 402,291.56 : x
  2. Step 2: Convert to fraction form
    188,026.31/402,291.56 = 402,291.56/x
  3. Step 3: Cross multiply
    188,026.31x = 402,291.56 × 402,291.56
  4. Step 4: Simplify right side
    188,026.31x = 161,838,501,258.69
  5. Step 5: Solve for x
    x = 161,838,501,258.69/188,026.31
  6. Step 6: Final answer
    x = 860,722.62

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