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Finding the Third Proportional to 105,627.75 and 234,869.25

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Solution

The third proportional to 105,627.75 and 234,869.25 is: 522,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627.75 : 234,869.25 = 234,869.25 : x
  2. Step 2: Convert to fraction form
    105,627.75/234,869.25 = 234,869.25/x
  3. Step 3: Cross multiply
    105,627.75x = 234,869.25 × 234,869.25
  4. Step 4: Simplify right side
    105,627.75x = 55,163,564,595.56
  5. Step 5: Solve for x
    x = 55,163,564,595.56/105,627.75
  6. Step 6: Final answer
    x = 522,245.00

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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.