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Finding the Third Proportional to 217,224 and 345,492

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Solution

The third proportional to 217,224 and 345,492 is: 549,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 345,492 = 345,492 : x
  2. Step 2: Convert to fraction form
    217,224/345,492 = 345,492/x
  3. Step 3: Cross multiply
    217,224x = 345,492 × 345,492
  4. Step 4: Simplify right side
    217,224x = 119,364,722,064
  5. Step 5: Solve for x
    x = 119,364,722,064/217,224
  6. Step 6: Final answer
    x = 549,500.62

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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.