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Finding the Third Proportional to 172,144 and 370,713

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Solution

The third proportional to 172,144 and 370,713 is: 798,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,144 : 370,713 = 370,713 : x
  2. Step 2: Convert to fraction form
    172,144/370,713 = 370,713/x
  3. Step 3: Cross multiply
    172,144x = 370,713 × 370,713
  4. Step 4: Simplify right side
    172,144x = 137,428,128,369
  5. Step 5: Solve for x
    x = 137,428,128,369/172,144
  6. Step 6: Final answer
    x = 798,332.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.