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Finding the Third Proportional to 191,600 and 416,770

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Solution

The third proportional to 191,600 and 416,770 is: 906,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,600 : 416,770 = 416,770 : x
  2. Step 2: Convert to fraction form
    191,600/416,770 = 416,770/x
  3. Step 3: Cross multiply
    191,600x = 416,770 × 416,770
  4. Step 4: Simplify right side
    191,600x = 173,697,232,900
  5. Step 5: Solve for x
    x = 173,697,232,900/191,600
  6. Step 6: Final answer
    x = 906,561.76

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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.