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Finding the Third Proportional to 125,046 and 289,233

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Solution

The third proportional to 125,046 and 289,233 is: 668,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,046 : 289,233 = 289,233 : x
  2. Step 2: Convert to fraction form
    125,046/289,233 = 289,233/x
  3. Step 3: Cross multiply
    125,046x = 289,233 × 289,233
  4. Step 4: Simplify right side
    125,046x = 83,655,728,289
  5. Step 5: Solve for x
    x = 83,655,728,289/125,046
  6. Step 6: Final answer
    x = 668,999.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.