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Finding the Third Proportional to 183,913.03 and 444,712.78

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Solution

The third proportional to 183,913.03 and 444,712.78 is: 1,075,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,913.03 : 444,712.78 = 444,712.78 : x
  2. Step 2: Convert to fraction form
    183,913.03/444,712.78 = 444,712.78/x
  3. Step 3: Cross multiply
    183,913.03x = 444,712.78 × 444,712.78
  4. Step 4: Simplify right side
    183,913.03x = 197,769,457,807.11
  5. Step 5: Solve for x
    x = 197,769,457,807.11/183,913.03
  6. Step 6: Final answer
    x = 1,075,342.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.