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Finding the Third Proportional to 141,492.38 and 214,060.50

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Solution

The third proportional to 141,492.38 and 214,060.50 is: 323,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,492.38 : 214,060.50 = 214,060.50 : x
  2. Step 2: Convert to fraction form
    141,492.38/214,060.50 = 214,060.50/x
  3. Step 3: Cross multiply
    141,492.38x = 214,060.50 × 214,060.50
  4. Step 4: Simplify right side
    141,492.38x = 45,821,897,660.25
  5. Step 5: Solve for x
    x = 45,821,897,660.25/141,492.38
  6. Step 6: Final answer
    x = 323,847.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.