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Finding the Third Proportional to 141,342 and 198,088.50

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Solution

The third proportional to 141,342 and 198,088.50 is: 277,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,342 : 198,088.50 = 198,088.50 : x
  2. Step 2: Convert to fraction form
    141,342/198,088.50 = 198,088.50/x
  3. Step 3: Cross multiply
    141,342x = 198,088.50 × 198,088.50
  4. Step 4: Simplify right side
    141,342x = 39,239,053,832.25
  5. Step 5: Solve for x
    x = 39,239,053,832.25/141,342
  6. Step 6: Final answer
    x = 277,617.79

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