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Finding the Third Proportional to 114,192 and 245,877.75

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Solution

The third proportional to 114,192 and 245,877.75 is: 529,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,192 : 245,877.75 = 245,877.75 : x
  2. Step 2: Convert to fraction form
    114,192/245,877.75 = 245,877.75/x
  3. Step 3: Cross multiply
    114,192x = 245,877.75 × 245,877.75
  4. Step 4: Simplify right side
    114,192x = 60,455,867,945.06
  5. Step 5: Solve for x
    x = 60,455,867,945.06/114,192
  6. Step 6: Final answer
    x = 529,422.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.