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Finding the Third Proportional to 105,446.25 and 248,909.63

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Solution

The third proportional to 105,446.25 and 248,909.63 is: 587,560.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,446.25 : 248,909.63 = 248,909.63 : x
  2. Step 2: Convert to fraction form
    105,446.25/248,909.63 = 248,909.63/x
  3. Step 3: Cross multiply
    105,446.25x = 248,909.63 × 248,909.63
  4. Step 4: Simplify right side
    105,446.25x = 61,956,001,417.64
  5. Step 5: Solve for x
    x = 61,956,001,417.64/105,446.25
  6. Step 6: Final answer
    x = 587,560.03

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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.