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Finding the Third Proportional to 190,988 and 416,216

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Solution

The third proportional to 190,988 and 416,216 is: 907,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,988 : 416,216 = 416,216 : x
  2. Step 2: Convert to fraction form
    190,988/416,216 = 416,216/x
  3. Step 3: Cross multiply
    190,988x = 416,216 × 416,216
  4. Step 4: Simplify right side
    190,988x = 173,235,758,656
  5. Step 5: Solve for x
    x = 173,235,758,656/190,988
  6. Step 6: Final answer
    x = 907,050.49

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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.