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Finding the Third Proportional to 141,164.02 and 310,314.80

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Solution

The third proportional to 141,164.02 and 310,314.80 is: 682,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,164.02 : 310,314.80 = 310,314.80 : x
  2. Step 2: Convert to fraction form
    141,164.02/310,314.80 = 310,314.80/x
  3. Step 3: Cross multiply
    141,164.02x = 310,314.80 × 310,314.80
  4. Step 4: Simplify right side
    141,164.02x = 96,295,273,159.57
  5. Step 5: Solve for x
    x = 96,295,273,159.57/141,164.02
  6. Step 6: Final answer
    x = 682,151.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.