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Finding the Third Proportional to 191,866 and 418,724

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Solution

The third proportional to 191,866 and 418,724 is: 913,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,866 : 418,724 = 418,724 : x
  2. Step 2: Convert to fraction form
    191,866/418,724 = 418,724/x
  3. Step 3: Cross multiply
    191,866x = 418,724 × 418,724
  4. Step 4: Simplify right side
    191,866x = 175,329,788,176
  5. Step 5: Solve for x
    x = 175,329,788,176/191,866
  6. Step 6: Final answer
    x = 913,813.75

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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.