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Finding the Third Proportional to 146,568.38 and 321,193.13

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Solution

The third proportional to 146,568.38 and 321,193.13 is: 703,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,568.38 : 321,193.13 = 321,193.13 : x
  2. Step 2: Convert to fraction form
    146,568.38/321,193.13 = 321,193.13/x
  3. Step 3: Cross multiply
    146,568.38x = 321,193.13 × 321,193.13
  4. Step 4: Simplify right side
    146,568.38x = 103,165,023,547.27
  5. Step 5: Solve for x
    x = 103,165,023,547.27/146,568.38
  6. Step 6: Final answer
    x = 703,869.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.