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Finding the Third Proportional to 183,417.75 and 273,434.25

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Solution

The third proportional to 183,417.75 and 273,434.25 is: 407,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,417.75 : 273,434.25 = 273,434.25 : x
  2. Step 2: Convert to fraction form
    183,417.75/273,434.25 = 273,434.25/x
  3. Step 3: Cross multiply
    183,417.75x = 273,434.25 × 273,434.25
  4. Step 4: Simplify right side
    183,417.75x = 74,766,289,073.06
  5. Step 5: Solve for x
    x = 74,766,289,073.06/183,417.75
  6. Step 6: Final answer
    x = 407,628.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.