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Finding the Third Proportional to 114,897 and 251,130

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Solution

The third proportional to 114,897 and 251,130 is: 548,894.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,897 : 251,130 = 251,130 : x
  2. Step 2: Convert to fraction form
    114,897/251,130 = 251,130/x
  3. Step 3: Cross multiply
    114,897x = 251,130 × 251,130
  4. Step 4: Simplify right side
    114,897x = 63,066,276,900
  5. Step 5: Solve for x
    x = 63,066,276,900/114,897
  6. Step 6: Final answer
    x = 548,894.03

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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.