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Finding the Third Proportional to 191,958 and 418,854

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Solution

The third proportional to 191,958 and 418,854 is: 913,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,958 : 418,854 = 418,854 : x
  2. Step 2: Convert to fraction form
    191,958/418,854 = 418,854/x
  3. Step 3: Cross multiply
    191,958x = 418,854 × 418,854
  4. Step 4: Simplify right side
    191,958x = 175,438,673,316
  5. Step 5: Solve for x
    x = 175,438,673,316/191,958
  6. Step 6: Final answer
    x = 913,943.02

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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.