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Finding the Third Proportional to 141,028 and 296,600

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Solution

The third proportional to 141,028 and 296,600 is: 623,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,028 : 296,600 = 296,600 : x
  2. Step 2: Convert to fraction form
    141,028/296,600 = 296,600/x
  3. Step 3: Cross multiply
    141,028x = 296,600 × 296,600
  4. Step 4: Simplify right side
    141,028x = 87,971,560,000
  5. Step 5: Solve for x
    x = 87,971,560,000/141,028
  6. Step 6: Final answer
    x = 623,787.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.