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Finding the Third Proportional to 203,476.50 and 299,332.13

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Solution

The third proportional to 203,476.50 and 299,332.13 is: 440,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476.50 : 299,332.13 = 299,332.13 : x
  2. Step 2: Convert to fraction form
    203,476.50/299,332.13 = 299,332.13/x
  3. Step 3: Cross multiply
    203,476.50x = 299,332.13 × 299,332.13
  4. Step 4: Simplify right side
    203,476.50x = 89,599,721,057.02
  5. Step 5: Solve for x
    x = 89,599,721,057.02/203,476.50
  6. Step 6: Final answer
    x = 440,344.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.