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Finding the Third Proportional to 174,240 and 377,984

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Solution

The third proportional to 174,240 and 377,984 is: 819,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,240 : 377,984 = 377,984 : x
  2. Step 2: Convert to fraction form
    174,240/377,984 = 377,984/x
  3. Step 3: Cross multiply
    174,240x = 377,984 × 377,984
  4. Step 4: Simplify right side
    174,240x = 142,871,904,256
  5. Step 5: Solve for x
    x = 142,871,904,256/174,240
  6. Step 6: Final answer
    x = 819,971.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.