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Finding the Third Proportional to 105,624.75 and 234,866.25

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Solution

The third proportional to 105,624.75 and 234,866.25 is: 522,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,624.75 : 234,866.25 = 234,866.25 : x
  2. Step 2: Convert to fraction form
    105,624.75/234,866.25 = 234,866.25/x
  3. Step 3: Cross multiply
    105,624.75x = 234,866.25 × 234,866.25
  4. Step 4: Simplify right side
    105,624.75x = 55,162,155,389.06
  5. Step 5: Solve for x
    x = 55,162,155,389.06/105,624.75
  6. Step 6: Final answer
    x = 522,246.49

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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.