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Finding the Third Proportional to 172,345.50 and 372,361.50

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Solution

The third proportional to 172,345.50 and 372,361.50 is: 804,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,345.50 : 372,361.50 = 372,361.50 : x
  2. Step 2: Convert to fraction form
    172,345.50/372,361.50 = 372,361.50/x
  3. Step 3: Cross multiply
    172,345.50x = 372,361.50 × 372,361.50
  4. Step 4: Simplify right side
    172,345.50x = 138,653,086,682.25
  5. Step 5: Solve for x
    x = 138,653,086,682.25/172,345.50
  6. Step 6: Final answer
    x = 804,506.57

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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.