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Finding the Third Proportional to 172,848 and 377,784

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Solution

The third proportional to 172,848 and 377,784 is: 825,700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,848 : 377,784 = 377,784 : x
  2. Step 2: Convert to fraction form
    172,848/377,784 = 377,784/x
  3. Step 3: Cross multiply
    172,848x = 377,784 × 377,784
  4. Step 4: Simplify right side
    172,848x = 142,720,750,656
  5. Step 5: Solve for x
    x = 142,720,750,656/172,848
  6. Step 6: Final answer
    x = 825,700.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.