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Finding the Third Proportional to 199,974 and 432,020

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Solution

The third proportional to 199,974 and 432,020 is: 933,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,974 : 432,020 = 432,020 : x
  2. Step 2: Convert to fraction form
    199,974/432,020 = 432,020/x
  3. Step 3: Cross multiply
    199,974x = 432,020 × 432,020
  4. Step 4: Simplify right side
    199,974x = 186,641,280,400
  5. Step 5: Solve for x
    x = 186,641,280,400/199,974
  6. Step 6: Final answer
    x = 933,327.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.