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Finding the Third Proportional to 140,866 and 293,428

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Solution

The third proportional to 140,866 and 293,428 is: 611,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866 : 293,428 = 293,428 : x
  2. Step 2: Convert to fraction form
    140,866/293,428 = 293,428/x
  3. Step 3: Cross multiply
    140,866x = 293,428 × 293,428
  4. Step 4: Simplify right side
    140,866x = 86,099,991,184
  5. Step 5: Solve for x
    x = 86,099,991,184/140,866
  6. Step 6: Final answer
    x = 611,219.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.