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Finding the Third Proportional to 200,731 and 310,091

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Solution

The third proportional to 200,731 and 310,091 is: 479,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731 : 310,091 = 310,091 : x
  2. Step 2: Convert to fraction form
    200,731/310,091 = 310,091/x
  3. Step 3: Cross multiply
    200,731x = 310,091 × 310,091
  4. Step 4: Simplify right side
    200,731x = 96,156,428,281
  5. Step 5: Solve for x
    x = 96,156,428,281/200,731
  6. Step 6: Final answer
    x = 479,031.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.