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Finding the Third Proportional to 123,446 and 265,603

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Solution

The third proportional to 123,446 and 265,603 is: 571,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,446 : 265,603 = 265,603 : x
  2. Step 2: Convert to fraction form
    123,446/265,603 = 265,603/x
  3. Step 3: Cross multiply
    123,446x = 265,603 × 265,603
  4. Step 4: Simplify right side
    123,446x = 70,544,953,609
  5. Step 5: Solve for x
    x = 70,544,953,609/123,446
  6. Step 6: Final answer
    x = 571,464.07

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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.