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Finding the Third Proportional to 175,922.63 and 272,490.38

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Solution

The third proportional to 175,922.63 and 272,490.38 is: 422,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,922.63 : 272,490.38 = 272,490.38 : x
  2. Step 2: Convert to fraction form
    175,922.63/272,490.38 = 272,490.38/x
  3. Step 3: Cross multiply
    175,922.63x = 272,490.38 × 272,490.38
  4. Step 4: Simplify right side
    175,922.63x = 74,251,004,467.64
  5. Step 5: Solve for x
    x = 74,251,004,467.64/175,922.63
  6. Step 6: Final answer
    x = 422,066.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.