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Finding the Third Proportional to 146,036.25 and 213,310.13

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Solution

The third proportional to 146,036.25 and 213,310.13 is: 311,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,036.25 : 213,310.13 = 213,310.13 : x
  2. Step 2: Convert to fraction form
    146,036.25/213,310.13 = 213,310.13/x
  3. Step 3: Cross multiply
    146,036.25x = 213,310.13 × 213,310.13
  4. Step 4: Simplify right side
    146,036.25x = 45,501,209,427.52
  5. Step 5: Solve for x
    x = 45,501,209,427.52/146,036.25
  6. Step 6: Final answer
    x = 311,574.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.