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Finding the Third Proportional to 199,680.50 and 429,808

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Solution

The third proportional to 199,680.50 and 429,808 is: 925,152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,680.50 : 429,808 = 429,808 : x
  2. Step 2: Convert to fraction form
    199,680.50/429,808 = 429,808/x
  3. Step 3: Cross multiply
    199,680.50x = 429,808 × 429,808
  4. Step 4: Simplify right side
    199,680.50x = 184,734,916,864
  5. Step 5: Solve for x
    x = 184,734,916,864/199,680.50
  6. Step 6: Final answer
    x = 925,152.52

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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.