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Finding the Third Proportional to 191,342 and 418,938

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Solution

The third proportional to 191,342 and 418,938 is: 917,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,342 : 418,938 = 418,938 : x
  2. Step 2: Convert to fraction form
    191,342/418,938 = 418,938/x
  3. Step 3: Cross multiply
    191,342x = 418,938 × 418,938
  4. Step 4: Simplify right side
    191,342x = 175,509,047,844
  5. Step 5: Solve for x
    x = 175,509,047,844/191,342
  6. Step 6: Final answer
    x = 917,253.13

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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.