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Finding the Third Proportional to 199,637 and 292,024

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Solution

The third proportional to 199,637 and 292,024 is: 427,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,637 : 292,024 = 292,024 : x
  2. Step 2: Convert to fraction form
    199,637/292,024 = 292,024/x
  3. Step 3: Cross multiply
    199,637x = 292,024 × 292,024
  4. Step 4: Simplify right side
    199,637x = 85,278,016,576
  5. Step 5: Solve for x
    x = 85,278,016,576/199,637
  6. Step 6: Final answer
    x = 427,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.