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Finding the Third Proportional to 199,196 and 430,084

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Solution

The third proportional to 199,196 and 430,084 is: 928,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,196 : 430,084 = 430,084 : x
  2. Step 2: Convert to fraction form
    199,196/430,084 = 430,084/x
  3. Step 3: Cross multiply
    199,196x = 430,084 × 430,084
  4. Step 4: Simplify right side
    199,196x = 184,972,247,056
  5. Step 5: Solve for x
    x = 184,972,247,056/199,196
  6. Step 6: Final answer
    x = 928,594.18

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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.