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Finding the Third Proportional to 217,034 and 345,243

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Solution

The third proportional to 217,034 and 345,243 is: 549,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,034 : 345,243 = 345,243 : x
  2. Step 2: Convert to fraction form
    217,034/345,243 = 345,243/x
  3. Step 3: Cross multiply
    217,034x = 345,243 × 345,243
  4. Step 4: Simplify right side
    217,034x = 119,192,729,049
  5. Step 5: Solve for x
    x = 119,192,729,049/217,034
  6. Step 6: Final answer
    x = 549,189.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.