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Finding the Third Proportional to 200,358 and 299,913

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Solution

The third proportional to 200,358 and 299,913 is: 448,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,358 : 299,913 = 299,913 : x
  2. Step 2: Convert to fraction form
    200,358/299,913 = 299,913/x
  3. Step 3: Cross multiply
    200,358x = 299,913 × 299,913
  4. Step 4: Simplify right side
    200,358x = 89,947,807,569
  5. Step 5: Solve for x
    x = 89,947,807,569/200,358
  6. Step 6: Final answer
    x = 448,935.44

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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.