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Finding the Third Proportional to 105,306.75 and 248,595.75

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Solution

The third proportional to 105,306.75 and 248,595.75 is: 586,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,306.75 : 248,595.75 = 248,595.75 : x
  2. Step 2: Convert to fraction form
    105,306.75/248,595.75 = 248,595.75/x
  3. Step 3: Cross multiply
    105,306.75x = 248,595.75 × 248,595.75
  4. Step 4: Simplify right side
    105,306.75x = 61,799,846,918.06
  5. Step 5: Solve for x
    x = 61,799,846,918.06/105,306.75
  6. Step 6: Final answer
    x = 586,855.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.