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Finding the Third Proportional to 145,134.75 and 307,902.75

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Solution

The third proportional to 145,134.75 and 307,902.75 is: 653,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,134.75 : 307,902.75 = 307,902.75 : x
  2. Step 2: Convert to fraction form
    145,134.75/307,902.75 = 307,902.75/x
  3. Step 3: Cross multiply
    145,134.75x = 307,902.75 × 307,902.75
  4. Step 4: Simplify right side
    145,134.75x = 94,804,103,457.56
  5. Step 5: Solve for x
    x = 94,804,103,457.56/145,134.75
  6. Step 6: Final answer
    x = 653,214.36

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.