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Finding the Third Proportional to 115,346.53 and 162,359.44

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Solution

The third proportional to 115,346.53 and 162,359.44 is: 228,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,346.53 : 162,359.44 = 162,359.44 : x
  2. Step 2: Convert to fraction form
    115,346.53/162,359.44 = 162,359.44/x
  3. Step 3: Cross multiply
    115,346.53x = 162,359.44 × 162,359.44
  4. Step 4: Simplify right side
    115,346.53x = 26,360,586,945.32
  5. Step 5: Solve for x
    x = 26,360,586,945.32/115,346.53
  6. Step 6: Final answer
    x = 228,533.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.