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Finding the Third Proportional to 174,927.94 and 367,480.13

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Solution

The third proportional to 174,927.94 and 367,480.13 is: 771,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,927.94 : 367,480.13 = 367,480.13 : x
  2. Step 2: Convert to fraction form
    174,927.94/367,480.13 = 367,480.13/x
  3. Step 3: Cross multiply
    174,927.94x = 367,480.13 × 367,480.13
  4. Step 4: Simplify right side
    174,927.94x = 135,041,642,270.02
  5. Step 5: Solve for x
    x = 135,041,642,270.02/174,927.94
  6. Step 6: Final answer
    x = 771,984.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.