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Finding the Third Proportional to 192,547.13 and 449,929.69

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Solution

The third proportional to 192,547.13 and 449,929.69 is: 1,051,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,547.13 : 449,929.69 = 449,929.69 : x
  2. Step 2: Convert to fraction form
    192,547.13/449,929.69 = 449,929.69/x
  3. Step 3: Cross multiply
    192,547.13x = 449,929.69 × 449,929.69
  4. Step 4: Simplify right side
    192,547.13x = 202,436,723,693.85
  5. Step 5: Solve for x
    x = 202,436,723,693.85/192,547.13
  6. Step 6: Final answer
    x = 1,051,361.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.