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Finding the Third Proportional to 191,810 and 416,236

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Solution

The third proportional to 191,810 and 416,236 is: 903,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,810 : 416,236 = 416,236 : x
  2. Step 2: Convert to fraction form
    191,810/416,236 = 416,236/x
  3. Step 3: Cross multiply
    191,810x = 416,236 × 416,236
  4. Step 4: Simplify right side
    191,810x = 173,252,407,696
  5. Step 5: Solve for x
    x = 173,252,407,696/191,810
  6. Step 6: Final answer
    x = 903,250.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.