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Finding the Third Proportional to 145,428.75 and 304,033.50

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Solution

The third proportional to 145,428.75 and 304,033.50 is: 635,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,428.75 : 304,033.50 = 304,033.50 : x
  2. Step 2: Convert to fraction form
    145,428.75/304,033.50 = 304,033.50/x
  3. Step 3: Cross multiply
    145,428.75x = 304,033.50 × 304,033.50
  4. Step 4: Simplify right side
    145,428.75x = 92,436,369,122.25
  5. Step 5: Solve for x
    x = 92,436,369,122.25/145,428.75
  6. Step 6: Final answer
    x = 635,612.76

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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.