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Finding the Third Proportional to 188,746.50 and 399,354.75

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Solution

The third proportional to 188,746.50 and 399,354.75 is: 844,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,746.50 : 399,354.75 = 399,354.75 : x
  2. Step 2: Convert to fraction form
    188,746.50/399,354.75 = 399,354.75/x
  3. Step 3: Cross multiply
    188,746.50x = 399,354.75 × 399,354.75
  4. Step 4: Simplify right side
    188,746.50x = 159,484,216,347.56
  5. Step 5: Solve for x
    x = 159,484,216,347.56/188,746.50
  6. Step 6: Final answer
    x = 844,965.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.