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Finding the Third Proportional to 235,624.50 and 356,865.75

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Solution

The third proportional to 235,624.50 and 356,865.75 is: 540,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,624.50 : 356,865.75 = 356,865.75 : x
  2. Step 2: Convert to fraction form
    235,624.50/356,865.75 = 356,865.75/x
  3. Step 3: Cross multiply
    235,624.50x = 356,865.75 × 356,865.75
  4. Step 4: Simplify right side
    235,624.50x = 127,353,163,523.06
  5. Step 5: Solve for x
    x = 127,353,163,523.06/235,624.50
  6. Step 6: Final answer
    x = 540,492.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.