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Finding the Third Proportional to 151,833.23 and 351,501.40

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Solution

The third proportional to 151,833.23 and 351,501.40 is: 813,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,833.23 : 351,501.40 = 351,501.40 : x
  2. Step 2: Convert to fraction form
    151,833.23/351,501.40 = 351,501.40/x
  3. Step 3: Cross multiply
    151,833.23x = 351,501.40 × 351,501.40
  4. Step 4: Simplify right side
    151,833.23x = 123,553,233,103.52
  5. Step 5: Solve for x
    x = 123,553,233,103.52/151,833.23
  6. Step 6: Final answer
    x = 813,743.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.