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Finding the Third Proportional to 201,703 and 293,091

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Solution

The third proportional to 201,703 and 293,091 is: 425,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,703 : 293,091 = 293,091 : x
  2. Step 2: Convert to fraction form
    201,703/293,091 = 293,091/x
  3. Step 3: Cross multiply
    201,703x = 293,091 × 293,091
  4. Step 4: Simplify right side
    201,703x = 85,902,334,281
  5. Step 5: Solve for x
    x = 85,902,334,281/201,703
  6. Step 6: Final answer
    x = 425,885.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.