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Finding the Third Proportional to 247,363.50 and 341,307

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Solution

The third proportional to 247,363.50 and 341,307 is: 470,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,363.50 : 341,307 = 341,307 : x
  2. Step 2: Convert to fraction form
    247,363.50/341,307 = 341,307/x
  3. Step 3: Cross multiply
    247,363.50x = 341,307 × 341,307
  4. Step 4: Simplify right side
    247,363.50x = 116,490,468,249
  5. Step 5: Solve for x
    x = 116,490,468,249/247,363.50
  6. Step 6: Final answer
    x = 470,928.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.