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Finding the Third Proportional to 125,174 and 278,335.50

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Solution

The third proportional to 125,174 and 278,335.50 is: 618,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,174 : 278,335.50 = 278,335.50 : x
  2. Step 2: Convert to fraction form
    125,174/278,335.50 = 278,335.50/x
  3. Step 3: Cross multiply
    125,174x = 278,335.50 × 278,335.50
  4. Step 4: Simplify right side
    125,174x = 77,470,650,560.25
  5. Step 5: Solve for x
    x = 77,470,650,560.25/125,174
  6. Step 6: Final answer
    x = 618,903.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.