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Finding the Third Proportional to 199,746 and 424,278

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Solution

The third proportional to 199,746 and 424,278 is: 901,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,746 : 424,278 = 424,278 : x
  2. Step 2: Convert to fraction form
    199,746/424,278 = 424,278/x
  3. Step 3: Cross multiply
    199,746x = 424,278 × 424,278
  4. Step 4: Simplify right side
    199,746x = 180,011,821,284
  5. Step 5: Solve for x
    x = 180,011,821,284/199,746
  6. Step 6: Final answer
    x = 901,203.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.