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Finding the Third Proportional to 105,617.50 and 234,848.75

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Solution

The third proportional to 105,617.50 and 234,848.75 is: 522,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,617.50 : 234,848.75 = 234,848.75 : x
  2. Step 2: Convert to fraction form
    105,617.50/234,848.75 = 234,848.75/x
  3. Step 3: Cross multiply
    105,617.50x = 234,848.75 × 234,848.75
  4. Step 4: Simplify right side
    105,617.50x = 55,153,935,376.56
  5. Step 5: Solve for x
    x = 55,153,935,376.56/105,617.50
  6. Step 6: Final answer
    x = 522,204.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.