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Finding the Third Proportional to 114,564 and 246,057

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Solution

The third proportional to 114,564 and 246,057 is: 528,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,564 : 246,057 = 246,057 : x
  2. Step 2: Convert to fraction form
    114,564/246,057 = 246,057/x
  3. Step 3: Cross multiply
    114,564x = 246,057 × 246,057
  4. Step 4: Simplify right side
    114,564x = 60,544,047,249
  5. Step 5: Solve for x
    x = 60,544,047,249/114,564
  6. Step 6: Final answer
    x = 528,473.58

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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.