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Finding the Third Proportional to 239,157 and 503,100

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Solution

The third proportional to 239,157 and 503,100 is: 1,058,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,157 : 503,100 = 503,100 : x
  2. Step 2: Convert to fraction form
    239,157/503,100 = 503,100/x
  3. Step 3: Cross multiply
    239,157x = 503,100 × 503,100
  4. Step 4: Simplify right side
    239,157x = 253,109,610,000
  5. Step 5: Solve for x
    x = 253,109,610,000/239,157
  6. Step 6: Final answer
    x = 1,058,340.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.