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Finding the Third Proportional to 114,120 and 254,466

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Solution

The third proportional to 114,120 and 254,466 is: 567,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,120 : 254,466 = 254,466 : x
  2. Step 2: Convert to fraction form
    114,120/254,466 = 254,466/x
  3. Step 3: Cross multiply
    114,120x = 254,466 × 254,466
  4. Step 4: Simplify right side
    114,120x = 64,752,945,156
  5. Step 5: Solve for x
    x = 64,752,945,156/114,120
  6. Step 6: Final answer
    x = 567,411.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.