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Finding the Third Proportional to 105,056 and 226,952

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Solution

The third proportional to 105,056 and 226,952 is: 490,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,056 : 226,952 = 226,952 : x
  2. Step 2: Convert to fraction form
    105,056/226,952 = 226,952/x
  3. Step 3: Cross multiply
    105,056x = 226,952 × 226,952
  4. Step 4: Simplify right side
    105,056x = 51,507,210,304
  5. Step 5: Solve for x
    x = 51,507,210,304/105,056
  6. Step 6: Final answer
    x = 490,283.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.