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Finding the Third Proportional to 140,354 and 300,724

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Solution

The third proportional to 140,354 and 300,724 is: 644,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,354 : 300,724 = 300,724 : x
  2. Step 2: Convert to fraction form
    140,354/300,724 = 300,724/x
  3. Step 3: Cross multiply
    140,354x = 300,724 × 300,724
  4. Step 4: Simplify right side
    140,354x = 90,434,924,176
  5. Step 5: Solve for x
    x = 90,434,924,176/140,354
  6. Step 6: Final answer
    x = 644,334.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.