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Finding the Third Proportional to 122,737.78 and 264,839.63

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Solution

The third proportional to 122,737.78 and 264,839.63 is: 571,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,737.78 : 264,839.63 = 264,839.63 : x
  2. Step 2: Convert to fraction form
    122,737.78/264,839.63 = 264,839.63/x
  3. Step 3: Cross multiply
    122,737.78x = 264,839.63 × 264,839.63
  4. Step 4: Simplify right side
    122,737.78x = 70,140,026,970.14
  5. Step 5: Solve for x
    x = 70,140,026,970.14/122,737.78
  6. Step 6: Final answer
    x = 571,462.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.