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Finding the Third Proportional to 221,751 and 341,313

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Solution

The third proportional to 221,751 and 341,313 is: 525,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,751 : 341,313 = 341,313 : x
  2. Step 2: Convert to fraction form
    221,751/341,313 = 341,313/x
  3. Step 3: Cross multiply
    221,751x = 341,313 × 341,313
  4. Step 4: Simplify right side
    221,751x = 116,494,563,969
  5. Step 5: Solve for x
    x = 116,494,563,969/221,751
  6. Step 6: Final answer
    x = 525,339.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.