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Finding the Third Proportional to 174,978.56 and 360,998.44

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Solution

The third proportional to 174,978.56 and 360,998.44 is: 744,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978.56 : 360,998.44 = 360,998.44 : x
  2. Step 2: Convert to fraction form
    174,978.56/360,998.44 = 360,998.44/x
  3. Step 3: Cross multiply
    174,978.56x = 360,998.44 × 360,998.44
  4. Step 4: Simplify right side
    174,978.56x = 130,319,871,877.44
  5. Step 5: Solve for x
    x = 130,319,871,877.44/174,978.56
  6. Step 6: Final answer
    x = 744,776.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.