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Finding the Third Proportional to 199,152.75 and 429,999

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Solution

The third proportional to 199,152.75 and 429,999 is: 928,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,152.75 : 429,999 = 429,999 : x
  2. Step 2: Convert to fraction form
    199,152.75/429,999 = 429,999/x
  3. Step 3: Cross multiply
    199,152.75x = 429,999 × 429,999
  4. Step 4: Simplify right side
    199,152.75x = 184,899,140,001
  5. Step 5: Solve for x
    x = 184,899,140,001/199,152.75
  6. Step 6: Final answer
    x = 928,428.76

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