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Finding the Third Proportional to 234,965 and 352,520

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Solution

The third proportional to 234,965 and 352,520 is: 528,888.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,965 : 352,520 = 352,520 : x
  2. Step 2: Convert to fraction form
    234,965/352,520 = 352,520/x
  3. Step 3: Cross multiply
    234,965x = 352,520 × 352,520
  4. Step 4: Simplify right side
    234,965x = 124,270,350,400
  5. Step 5: Solve for x
    x = 124,270,350,400/234,965
  6. Step 6: Final answer
    x = 528,888.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.