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Finding the Third Proportional to 200,332 and 299,862

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Solution

The third proportional to 200,332 and 299,862 is: 448,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,332 : 299,862 = 299,862 : x
  2. Step 2: Convert to fraction form
    200,332/299,862 = 299,862/x
  3. Step 3: Cross multiply
    200,332x = 299,862 × 299,862
  4. Step 4: Simplify right side
    200,332x = 89,917,219,044
  5. Step 5: Solve for x
    x = 89,917,219,044/200,332
  6. Step 6: Final answer
    x = 448,841.02

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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.