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Finding the Third Proportional to 141,197.06 and 310,420.13

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Solution

The third proportional to 141,197.06 and 310,420.13 is: 682,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,197.06 : 310,420.13 = 310,420.13 : x
  2. Step 2: Convert to fraction form
    141,197.06/310,420.13 = 310,420.13/x
  3. Step 3: Cross multiply
    141,197.06x = 310,420.13 × 310,420.13
  4. Step 4: Simplify right side
    141,197.06x = 96,360,654,005.02
  5. Step 5: Solve for x
    x = 96,360,654,005.02/141,197.06
  6. Step 6: Final answer
    x = 682,455.09

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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.