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Finding the Third Proportional to 234,009 and 256,972.50

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Solution

The third proportional to 234,009 and 256,972.50 is: 282,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009 : 256,972.50 = 256,972.50 : x
  2. Step 2: Convert to fraction form
    234,009/256,972.50 = 256,972.50/x
  3. Step 3: Cross multiply
    234,009x = 256,972.50 × 256,972.50
  4. Step 4: Simplify right side
    234,009x = 66,034,865,756.25
  5. Step 5: Solve for x
    x = 66,034,865,756.25/234,009
  6. Step 6: Final answer
    x = 282,189.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.