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Finding the Third Proportional to 223,689.75 and 338,792.63

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Solution

The third proportional to 223,689.75 and 338,792.63 is: 513,123.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,689.75 : 338,792.63 = 338,792.63 : x
  2. Step 2: Convert to fraction form
    223,689.75/338,792.63 = 338,792.63/x
  3. Step 3: Cross multiply
    223,689.75x = 338,792.63 × 338,792.63
  4. Step 4: Simplify right side
    223,689.75x = 114,780,442,754.39
  5. Step 5: Solve for x
    x = 114,780,442,754.39/223,689.75
  6. Step 6: Final answer
    x = 513,123.39

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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.