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Finding the Third Proportional to 203,480 and 299,337

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Solution

The third proportional to 203,480 and 299,337 is: 440,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,480 : 299,337 = 299,337 : x
  2. Step 2: Convert to fraction form
    203,480/299,337 = 299,337/x
  3. Step 3: Cross multiply
    203,480x = 299,337 × 299,337
  4. Step 4: Simplify right side
    203,480x = 89,602,639,569
  5. Step 5: Solve for x
    x = 89,602,639,569/203,480
  6. Step 6: Final answer
    x = 440,351.09

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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.