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Finding the Third Proportional to 200,916.75 and 429,796.88

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Solution

The third proportional to 200,916.75 and 429,796.88 is: 919,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916.75 : 429,796.88 = 429,796.88 : x
  2. Step 2: Convert to fraction form
    200,916.75/429,796.88 = 429,796.88/x
  3. Step 3: Cross multiply
    200,916.75x = 429,796.88 × 429,796.88
  4. Step 4: Simplify right side
    200,916.75x = 184,725,353,759.77
  5. Step 5: Solve for x
    x = 184,725,353,759.77/200,916.75
  6. Step 6: Final answer
    x = 919,412.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.