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Finding the Third Proportional to 224,802 and 338,688

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Solution

The third proportional to 224,802 and 338,688 is: 510,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802 : 338,688 = 338,688 : x
  2. Step 2: Convert to fraction form
    224,802/338,688 = 338,688/x
  3. Step 3: Cross multiply
    224,802x = 338,688 × 338,688
  4. Step 4: Simplify right side
    224,802x = 114,709,561,344
  5. Step 5: Solve for x
    x = 114,709,561,344/224,802
  6. Step 6: Final answer
    x = 510,269.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.