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Finding the Third Proportional to 200,862 and 295,731

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Solution

The third proportional to 200,862 and 295,731 is: 435,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862 : 295,731 = 295,731 : x
  2. Step 2: Convert to fraction form
    200,862/295,731 = 295,731/x
  3. Step 3: Cross multiply
    200,862x = 295,731 × 295,731
  4. Step 4: Simplify right side
    200,862x = 87,456,824,361
  5. Step 5: Solve for x
    x = 87,456,824,361/200,862
  6. Step 6: Final answer
    x = 435,407.52

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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.