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Finding the Third Proportional to 124,804 and 286,666

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Solution

The third proportional to 124,804 and 286,666 is: 658,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,804 : 286,666 = 286,666 : x
  2. Step 2: Convert to fraction form
    124,804/286,666 = 286,666/x
  3. Step 3: Cross multiply
    124,804x = 286,666 × 286,666
  4. Step 4: Simplify right side
    124,804x = 82,177,395,556
  5. Step 5: Solve for x
    x = 82,177,395,556/124,804
  6. Step 6: Final answer
    x = 658,451.62

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.