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Finding the Third Proportional to 201,706 and 429,908

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Solution

The third proportional to 201,706 and 429,908 is: 916,288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706 : 429,908 = 429,908 : x
  2. Step 2: Convert to fraction form
    201,706/429,908 = 429,908/x
  3. Step 3: Cross multiply
    201,706x = 429,908 × 429,908
  4. Step 4: Simplify right side
    201,706x = 184,820,888,464
  5. Step 5: Solve for x
    x = 184,820,888,464/201,706
  6. Step 6: Final answer
    x = 916,288.50

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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.