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Finding the Third Proportional to 183,033 and 273,574

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Solution

The third proportional to 183,033 and 273,574 is: 408,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,033 : 273,574 = 273,574 : x
  2. Step 2: Convert to fraction form
    183,033/273,574 = 273,574/x
  3. Step 3: Cross multiply
    183,033x = 273,574 × 273,574
  4. Step 4: Simplify right side
    183,033x = 74,842,733,476
  5. Step 5: Solve for x
    x = 74,842,733,476/183,033
  6. Step 6: Final answer
    x = 408,902.95

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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.