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Finding the Third Proportional to 114,627 and 248,946

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Solution

The third proportional to 114,627 and 248,946 is: 540,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,627 : 248,946 = 248,946 : x
  2. Step 2: Convert to fraction form
    114,627/248,946 = 248,946/x
  3. Step 3: Cross multiply
    114,627x = 248,946 × 248,946
  4. Step 4: Simplify right side
    114,627x = 61,974,110,916
  5. Step 5: Solve for x
    x = 61,974,110,916/114,627
  6. Step 6: Final answer
    x = 540,658.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.