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Finding the Third Proportional to 191,916 and 418,770

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Solution

The third proportional to 191,916 and 418,770 is: 913,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,916 : 418,770 = 418,770 : x
  2. Step 2: Convert to fraction form
    191,916/418,770 = 418,770/x
  3. Step 3: Cross multiply
    191,916x = 418,770 × 418,770
  4. Step 4: Simplify right side
    191,916x = 175,368,312,900
  5. Step 5: Solve for x
    x = 175,368,312,900/191,916
  6. Step 6: Final answer
    x = 913,776.41

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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.