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Finding the Third Proportional to 123,346 and 265,403

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Solution

The third proportional to 123,346 and 265,403 is: 571,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,346 : 265,403 = 265,403 : x
  2. Step 2: Convert to fraction form
    123,346/265,403 = 265,403/x
  3. Step 3: Cross multiply
    123,346x = 265,403 × 265,403
  4. Step 4: Simplify right side
    123,346x = 70,438,752,409
  5. Step 5: Solve for x
    x = 70,438,752,409/123,346
  6. Step 6: Final answer
    x = 571,066.37

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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.