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Finding the Third Proportional to 191,952 and 418,842

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Solution

The third proportional to 191,952 and 418,842 is: 913,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,952 : 418,842 = 418,842 : x
  2. Step 2: Convert to fraction form
    191,952/418,842 = 418,842/x
  3. Step 3: Cross multiply
    191,952x = 418,842 × 418,842
  4. Step 4: Simplify right side
    191,952x = 175,428,620,964
  5. Step 5: Solve for x
    x = 175,428,620,964/191,952
  6. Step 6: Final answer
    x = 913,919.21

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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.