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Finding the Third Proportional to 200,034 and 299,484

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Solution

The third proportional to 200,034 and 299,484 is: 448,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,034 : 299,484 = 299,484 : x
  2. Step 2: Convert to fraction form
    200,034/299,484 = 299,484/x
  3. Step 3: Cross multiply
    200,034x = 299,484 × 299,484
  4. Step 4: Simplify right side
    200,034x = 89,690,666,256
  5. Step 5: Solve for x
    x = 89,690,666,256/200,034
  6. Step 6: Final answer
    x = 448,377.11

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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.