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Finding the Third Proportional to 114,516 and 245,961

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Solution

The third proportional to 114,516 and 245,961 is: 528,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,516 : 245,961 = 245,961 : x
  2. Step 2: Convert to fraction form
    114,516/245,961 = 245,961/x
  3. Step 3: Cross multiply
    114,516x = 245,961 × 245,961
  4. Step 4: Simplify right side
    114,516x = 60,496,813,521
  5. Step 5: Solve for x
    x = 60,496,813,521/114,516
  6. Step 6: Final answer
    x = 528,282.63

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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.