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Finding the Third Proportional to 141,298 and 198,026.50

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Solution

The third proportional to 141,298 and 198,026.50 is: 277,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,298 : 198,026.50 = 198,026.50 : x
  2. Step 2: Convert to fraction form
    141,298/198,026.50 = 198,026.50/x
  3. Step 3: Cross multiply
    141,298x = 198,026.50 × 198,026.50
  4. Step 4: Simplify right side
    141,298x = 39,214,494,702.25
  5. Step 5: Solve for x
    x = 39,214,494,702.25/141,298
  6. Step 6: Final answer
    x = 277,530.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.