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Finding the Third Proportional to 174,026.50 and 276,913

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Solution

The third proportional to 174,026.50 and 276,913 is: 440,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,026.50 : 276,913 = 276,913 : x
  2. Step 2: Convert to fraction form
    174,026.50/276,913 = 276,913/x
  3. Step 3: Cross multiply
    174,026.50x = 276,913 × 276,913
  4. Step 4: Simplify right side
    174,026.50x = 76,680,809,569
  5. Step 5: Solve for x
    x = 76,680,809,569/174,026.50
  6. Step 6: Final answer
    x = 440,627.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.