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Finding the Third Proportional to 239,963 and 525,123

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Solution

The third proportional to 239,963 and 525,123 is: 1,149,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,963 : 525,123 = 525,123 : x
  2. Step 2: Convert to fraction form
    239,963/525,123 = 525,123/x
  3. Step 3: Cross multiply
    239,963x = 525,123 × 525,123
  4. Step 4: Simplify right side
    239,963x = 275,754,165,129
  5. Step 5: Solve for x
    x = 275,754,165,129/239,963
  6. Step 6: Final answer
    x = 1,149,152.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.