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Finding the Third Proportional to 259,313 and 349,573

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Solution

The third proportional to 259,313 and 349,573 is: 471,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,313 : 349,573 = 349,573 : x
  2. Step 2: Convert to fraction form
    259,313/349,573 = 349,573/x
  3. Step 3: Cross multiply
    259,313x = 349,573 × 349,573
  4. Step 4: Simplify right side
    259,313x = 122,201,282,329
  5. Step 5: Solve for x
    x = 122,201,282,329/259,313
  6. Step 6: Final answer
    x = 471,250.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.