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Finding the Third Proportional to 199,692 and 427,464

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Solution

The third proportional to 199,692 and 427,464 is: 915,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,692 : 427,464 = 427,464 : x
  2. Step 2: Convert to fraction form
    199,692/427,464 = 427,464/x
  3. Step 3: Cross multiply
    199,692x = 427,464 × 427,464
  4. Step 4: Simplify right side
    199,692x = 182,725,471,296
  5. Step 5: Solve for x
    x = 182,725,471,296/199,692
  6. Step 6: Final answer
    x = 915,036.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.