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Finding the Third Proportional to 163,998 and 355,198.50

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Solution

The third proportional to 163,998 and 355,198.50 is: 769,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,998 : 355,198.50 = 355,198.50 : x
  2. Step 2: Convert to fraction form
    163,998/355,198.50 = 355,198.50/x
  3. Step 3: Cross multiply
    163,998x = 355,198.50 × 355,198.50
  4. Step 4: Simplify right side
    163,998x = 126,165,974,402.25
  5. Step 5: Solve for x
    x = 126,165,974,402.25/163,998
  6. Step 6: Final answer
    x = 769,314.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.