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Finding the Third Proportional to 172,056 and 367,448

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Solution

The third proportional to 172,056 and 367,448 is: 784,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,056 : 367,448 = 367,448 : x
  2. Step 2: Convert to fraction form
    172,056/367,448 = 367,448/x
  3. Step 3: Cross multiply
    172,056x = 367,448 × 367,448
  4. Step 4: Simplify right side
    172,056x = 135,018,032,704
  5. Step 5: Solve for x
    x = 135,018,032,704/172,056
  6. Step 6: Final answer
    x = 784,733.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.