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Finding the Third Proportional to 117,549.38 and 277,443.94

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Solution

The third proportional to 117,549.38 and 277,443.94 is: 654,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,549.38 : 277,443.94 = 277,443.94 : x
  2. Step 2: Convert to fraction form
    117,549.38/277,443.94 = 277,443.94/x
  3. Step 3: Cross multiply
    117,549.38x = 277,443.94 × 277,443.94
  4. Step 4: Simplify right side
    117,549.38x = 76,975,138,455.50
  5. Step 5: Solve for x
    x = 76,975,138,455.50/117,549.38
  6. Step 6: Final answer
    x = 654,832.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.