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Finding the Third Proportional to 135,307.13 and 214,239.94

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Solution

The third proportional to 135,307.13 and 214,239.94 is: 339,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,307.13 : 214,239.94 = 214,239.94 : x
  2. Step 2: Convert to fraction form
    135,307.13/214,239.94 = 214,239.94/x
  3. Step 3: Cross multiply
    135,307.13x = 214,239.94 × 214,239.94
  4. Step 4: Simplify right side
    135,307.13x = 45,898,750,820.00
  5. Step 5: Solve for x
    x = 45,898,750,820.00/135,307.13
  6. Step 6: Final answer
    x = 339,219.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.