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Finding the Third Proportional to 161,427.94 and 225,688.15

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Solution

The third proportional to 161,427.94 and 225,688.15 is: 315,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,427.94 : 225,688.15 = 225,688.15 : x
  2. Step 2: Convert to fraction form
    161,427.94/225,688.15 = 225,688.15/x
  3. Step 3: Cross multiply
    161,427.94x = 225,688.15 × 225,688.15
  4. Step 4: Simplify right side
    161,427.94x = 50,935,140,345.15
  5. Step 5: Solve for x
    x = 50,935,140,345.15/161,427.94
  6. Step 6: Final answer
    x = 315,528.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.