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Finding the Third Proportional to 234,558 and 512,130

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Solution

The third proportional to 234,558 and 512,130 is: 1,118,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,558 : 512,130 = 512,130 : x
  2. Step 2: Convert to fraction form
    234,558/512,130 = 512,130/x
  3. Step 3: Cross multiply
    234,558x = 512,130 × 512,130
  4. Step 4: Simplify right side
    234,558x = 262,277,136,900
  5. Step 5: Solve for x
    x = 262,277,136,900/234,558
  6. Step 6: Final answer
    x = 1,118,176.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.