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Finding the Third Proportional to 103,708 and 227,504

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Solution

The third proportional to 103,708 and 227,504 is: 499,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,708 : 227,504 = 227,504 : x
  2. Step 2: Convert to fraction form
    103,708/227,504 = 227,504/x
  3. Step 3: Cross multiply
    103,708x = 227,504 × 227,504
  4. Step 4: Simplify right side
    103,708x = 51,758,070,016
  5. Step 5: Solve for x
    x = 51,758,070,016/103,708
  6. Step 6: Final answer
    x = 499,075.00

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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.