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Finding the Third Proportional to 145,435.50 and 304,107.75

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Solution

The third proportional to 145,435.50 and 304,107.75 is: 635,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,435.50 : 304,107.75 = 304,107.75 : x
  2. Step 2: Convert to fraction form
    145,435.50/304,107.75 = 304,107.75/x
  3. Step 3: Cross multiply
    145,435.50x = 304,107.75 × 304,107.75
  4. Step 4: Simplify right side
    145,435.50x = 92,481,523,610.06
  5. Step 5: Solve for x
    x = 92,481,523,610.06/145,435.50
  6. Step 6: Final answer
    x = 635,893.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.