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Finding the Third Proportional to 200,069 and 429,526

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Solution

The third proportional to 200,069 and 429,526 is: 922,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,069 : 429,526 = 429,526 : x
  2. Step 2: Convert to fraction form
    200,069/429,526 = 429,526/x
  3. Step 3: Cross multiply
    200,069x = 429,526 × 429,526
  4. Step 4: Simplify right side
    200,069x = 184,492,584,676
  5. Step 5: Solve for x
    x = 184,492,584,676/200,069
  6. Step 6: Final answer
    x = 922,144.78

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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.