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Finding the Third Proportional to 190,974 and 416,940

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Solution

The third proportional to 190,974 and 416,940 is: 910,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,974 : 416,940 = 416,940 : x
  2. Step 2: Convert to fraction form
    190,974/416,940 = 416,940/x
  3. Step 3: Cross multiply
    190,974x = 416,940 × 416,940
  4. Step 4: Simplify right side
    190,974x = 173,838,963,600
  5. Step 5: Solve for x
    x = 173,838,963,600/190,974
  6. Step 6: Final answer
    x = 910,275.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.