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Finding the Third Proportional to 186,294 and 366,938

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Solution

The third proportional to 186,294 and 366,938 is: 722,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294 : 366,938 = 366,938 : x
  2. Step 2: Convert to fraction form
    186,294/366,938 = 366,938/x
  3. Step 3: Cross multiply
    186,294x = 366,938 × 366,938
  4. Step 4: Simplify right side
    186,294x = 134,643,495,844
  5. Step 5: Solve for x
    x = 134,643,495,844/186,294
  6. Step 6: Final answer
    x = 722,747.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.