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Finding the Third Proportional to 174,022.78 and 276,907.13

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Solution

The third proportional to 174,022.78 and 276,907.13 is: 440,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,022.78 : 276,907.13 = 276,907.13 : x
  2. Step 2: Convert to fraction form
    174,022.78/276,907.13 = 276,907.13/x
  3. Step 3: Cross multiply
    174,022.78x = 276,907.13 × 276,907.13
  4. Step 4: Simplify right side
    174,022.78x = 76,677,555,875.77
  5. Step 5: Solve for x
    x = 76,677,555,875.77/174,022.78
  6. Step 6: Final answer
    x = 440,617.92

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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.