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Finding the Third Proportional to 199,752 and 429,150

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Solution

The third proportional to 199,752 and 429,150 is: 921,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,752 : 429,150 = 429,150 : x
  2. Step 2: Convert to fraction form
    199,752/429,150 = 429,150/x
  3. Step 3: Cross multiply
    199,752x = 429,150 × 429,150
  4. Step 4: Simplify right side
    199,752x = 184,169,722,500
  5. Step 5: Solve for x
    x = 184,169,722,500/199,752
  6. Step 6: Final answer
    x = 921,991.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.