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Finding the Third Proportional to 114,628 and 244,018

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Solution

The third proportional to 114,628 and 244,018 is: 519,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,628 : 244,018 = 244,018 : x
  2. Step 2: Convert to fraction form
    114,628/244,018 = 244,018/x
  3. Step 3: Cross multiply
    114,628x = 244,018 × 244,018
  4. Step 4: Simplify right side
    114,628x = 59,544,784,324
  5. Step 5: Solve for x
    x = 59,544,784,324/114,628
  6. Step 6: Final answer
    x = 519,461.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.