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Finding the Third Proportional to 193,260.38 and 289,001.25

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Solution

The third proportional to 193,260.38 and 289,001.25 is: 432,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,260.38 : 289,001.25 = 289,001.25 : x
  2. Step 2: Convert to fraction form
    193,260.38/289,001.25 = 289,001.25/x
  3. Step 3: Cross multiply
    193,260.38x = 289,001.25 × 289,001.25
  4. Step 4: Simplify right side
    193,260.38x = 83,521,722,501.56
  5. Step 5: Solve for x
    x = 83,521,722,501.56/193,260.38
  6. Step 6: Final answer
    x = 432,172.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.