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Finding the Third Proportional to 114,705 and 251,442

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Solution

The third proportional to 114,705 and 251,442 is: 551,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705 : 251,442 = 251,442 : x
  2. Step 2: Convert to fraction form
    114,705/251,442 = 251,442/x
  3. Step 3: Cross multiply
    114,705x = 251,442 × 251,442
  4. Step 4: Simplify right side
    114,705x = 63,223,079,364
  5. Step 5: Solve for x
    x = 63,223,079,364/114,705
  6. Step 6: Final answer
    x = 551,179.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.