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Finding the Third Proportional to 201,603 and 433,091

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Solution

The third proportional to 201,603 and 433,091 is: 930,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,603 : 433,091 = 433,091 : x
  2. Step 2: Convert to fraction form
    201,603/433,091 = 433,091/x
  3. Step 3: Cross multiply
    201,603x = 433,091 × 433,091
  4. Step 4: Simplify right side
    201,603x = 187,567,814,281
  5. Step 5: Solve for x
    x = 187,567,814,281/201,603
  6. Step 6: Final answer
    x = 930,382.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.