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Finding the Third Proportional to 201,702 and 429,900

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Solution

The third proportional to 201,702 and 429,900 is: 916,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702 : 429,900 = 429,900 : x
  2. Step 2: Convert to fraction form
    201,702/429,900 = 429,900/x
  3. Step 3: Cross multiply
    201,702x = 429,900 × 429,900
  4. Step 4: Simplify right side
    201,702x = 184,814,010,000
  5. Step 5: Solve for x
    x = 184,814,010,000/201,702
  6. Step 6: Final answer
    x = 916,272.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.