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Finding the Third Proportional to 117,156.38 and 242,620.31

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Solution

The third proportional to 117,156.38 and 242,620.31 is: 502,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,156.38 : 242,620.31 = 242,620.31 : x
  2. Step 2: Convert to fraction form
    117,156.38/242,620.31 = 242,620.31/x
  3. Step 3: Cross multiply
    117,156.38x = 242,620.31 × 242,620.31
  4. Step 4: Simplify right side
    117,156.38x = 58,864,616,037.60
  5. Step 5: Solve for x
    x = 58,864,616,037.60/117,156.38
  6. Step 6: Final answer
    x = 502,444.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.