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Finding the Third Proportional to 206,699 and 442,922.50

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Solution

The third proportional to 206,699 and 442,922.50 is: 949,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,699 : 442,922.50 = 442,922.50 : x
  2. Step 2: Convert to fraction form
    206,699/442,922.50 = 442,922.50/x
  3. Step 3: Cross multiply
    206,699x = 442,922.50 × 442,922.50
  4. Step 4: Simplify right side
    206,699x = 196,180,341,006.25
  5. Step 5: Solve for x
    x = 196,180,341,006.25/206,699
  6. Step 6: Final answer
    x = 949,111.22

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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.