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Finding the Third Proportional to 125,284 and 273,180.50

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Solution

The third proportional to 125,284 and 273,180.50 is: 595,667.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,284 : 273,180.50 = 273,180.50 : x
  2. Step 2: Convert to fraction form
    125,284/273,180.50 = 273,180.50/x
  3. Step 3: Cross multiply
    125,284x = 273,180.50 × 273,180.50
  4. Step 4: Simplify right side
    125,284x = 74,627,585,580.25
  5. Step 5: Solve for x
    x = 74,627,585,580.25/125,284
  6. Step 6: Final answer
    x = 595,667.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.