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Finding the Third Proportional to 200,712 and 310,953

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Solution

The third proportional to 200,712 and 310,953 is: 481,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,712 : 310,953 = 310,953 : x
  2. Step 2: Convert to fraction form
    200,712/310,953 = 310,953/x
  3. Step 3: Cross multiply
    200,712x = 310,953 × 310,953
  4. Step 4: Simplify right side
    200,712x = 96,691,768,209
  5. Step 5: Solve for x
    x = 96,691,768,209/200,712
  6. Step 6: Final answer
    x = 481,743.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.