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Finding the Third Proportional to 172,303.14 and 252,361.43

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Solution

The third proportional to 172,303.14 and 252,361.43 is: 369,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,303.14 : 252,361.43 = 252,361.43 : x
  2. Step 2: Convert to fraction form
    172,303.14/252,361.43 = 252,361.43/x
  3. Step 3: Cross multiply
    172,303.14x = 252,361.43 × 252,361.43
  4. Step 4: Simplify right side
    172,303.14x = 63,686,292,672.60
  5. Step 5: Solve for x
    x = 63,686,292,672.60/172,303.14
  6. Step 6: Final answer
    x = 369,617.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.