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Finding the Third Proportional to 172,314 and 372,303

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Solution

The third proportional to 172,314 and 372,303 is: 804,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,314 : 372,303 = 372,303 : x
  2. Step 2: Convert to fraction form
    172,314/372,303 = 372,303/x
  3. Step 3: Cross multiply
    172,314x = 372,303 × 372,303
  4. Step 4: Simplify right side
    172,314x = 138,609,523,809
  5. Step 5: Solve for x
    x = 138,609,523,809/172,314
  6. Step 6: Final answer
    x = 804,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.