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Finding the Third Proportional to 140,643 and 286,508

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Solution

The third proportional to 140,643 and 286,508 is: 583,653.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,643 : 286,508 = 286,508 : x
  2. Step 2: Convert to fraction form
    140,643/286,508 = 286,508/x
  3. Step 3: Cross multiply
    140,643x = 286,508 × 286,508
  4. Step 4: Simplify right side
    140,643x = 82,086,834,064
  5. Step 5: Solve for x
    x = 82,086,834,064/140,643
  6. Step 6: Final answer
    x = 583,653.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.