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Finding the Third Proportional to 141,993 and 310,714.88

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Solution

The third proportional to 141,993 and 310,714.88 is: 679,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,993 : 310,714.88 = 310,714.88 : x
  2. Step 2: Convert to fraction form
    141,993/310,714.88 = 310,714.88/x
  3. Step 3: Cross multiply
    141,993x = 310,714.88 × 310,714.88
  4. Step 4: Simplify right side
    141,993x = 96,543,733,546.27
  5. Step 5: Solve for x
    x = 96,543,733,546.27/141,993
  6. Step 6: Final answer
    x = 679,918.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.