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Finding the Third Proportional to 199,114.50 and 429,926.25

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Solution

The third proportional to 199,114.50 and 429,926.25 is: 928,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,114.50 : 429,926.25 = 429,926.25 : x
  2. Step 2: Convert to fraction form
    199,114.50/429,926.25 = 429,926.25/x
  3. Step 3: Cross multiply
    199,114.50x = 429,926.25 × 429,926.25
  4. Step 4: Simplify right side
    199,114.50x = 184,836,580,439.06
  5. Step 5: Solve for x
    x = 184,836,580,439.06/199,114.50
  6. Step 6: Final answer
    x = 928,292.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.