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Finding the Third Proportional to 141,102 and 293,706

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Solution

The third proportional to 141,102 and 293,706 is: 611,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,102 : 293,706 = 293,706 : x
  2. Step 2: Convert to fraction form
    141,102/293,706 = 293,706/x
  3. Step 3: Cross multiply
    141,102x = 293,706 × 293,706
  4. Step 4: Simplify right side
    141,102x = 86,263,214,436
  5. Step 5: Solve for x
    x = 86,263,214,436/141,102
  6. Step 6: Final answer
    x = 611,353.59

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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.