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Finding the Third Proportional to 92,472 and 200,688

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Solution

The third proportional to 92,472 and 200,688 is: 435,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,472 : 200,688 = 200,688 : x
  2. Step 2: Convert to fraction form
    92,472/200,688 = 200,688/x
  3. Step 3: Cross multiply
    92,472x = 200,688 × 200,688
  4. Step 4: Simplify right side
    92,472x = 40,275,673,344
  5. Step 5: Solve for x
    x = 40,275,673,344/92,472
  6. Step 6: Final answer
    x = 435,544.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.