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Finding the Third Proportional to 191,302 and 418,966

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Solution

The third proportional to 191,302 and 418,966 is: 917,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,302 : 418,966 = 418,966 : x
  2. Step 2: Convert to fraction form
    191,302/418,966 = 418,966/x
  3. Step 3: Cross multiply
    191,302x = 418,966 × 418,966
  4. Step 4: Simplify right side
    191,302x = 175,532,509,156
  5. Step 5: Solve for x
    x = 175,532,509,156/191,302
  6. Step 6: Final answer
    x = 917,567.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.