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Finding the Third Proportional to 123,147 and 265,291.03

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Solution

The third proportional to 123,147 and 265,291.03 is: 571,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,147 : 265,291.03 = 265,291.03 : x
  2. Step 2: Convert to fraction form
    123,147/265,291.03 = 265,291.03/x
  3. Step 3: Cross multiply
    123,147x = 265,291.03 × 265,291.03
  4. Step 4: Simplify right side
    123,147x = 70,379,331,261.69
  5. Step 5: Solve for x
    x = 70,379,331,261.69/123,147
  6. Step 6: Final answer
    x = 571,506.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.