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Finding the Third Proportional to 258,949 and 349,861

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Solution

The third proportional to 258,949 and 349,861 is: 472,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,949 : 349,861 = 349,861 : x
  2. Step 2: Convert to fraction form
    258,949/349,861 = 349,861/x
  3. Step 3: Cross multiply
    258,949x = 349,861 × 349,861
  4. Step 4: Simplify right side
    258,949x = 122,402,719,321
  5. Step 5: Solve for x
    x = 122,402,719,321/258,949
  6. Step 6: Final answer
    x = 472,690.45

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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.