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Finding the Third Proportional to 194,217.75 and 423,740.25

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Solution

The third proportional to 194,217.75 and 423,740.25 is: 924,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,217.75 : 423,740.25 = 423,740.25 : x
  2. Step 2: Convert to fraction form
    194,217.75/423,740.25 = 423,740.25/x
  3. Step 3: Cross multiply
    194,217.75x = 423,740.25 × 423,740.25
  4. Step 4: Simplify right side
    194,217.75x = 179,555,799,470.06
  5. Step 5: Solve for x
    x = 179,555,799,470.06/194,217.75
  6. Step 6: Final answer
    x = 924,507.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.