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Finding the Third Proportional to 145,432.50 and 304,041

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Solution

The third proportional to 145,432.50 and 304,041 is: 635,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,432.50 : 304,041 = 304,041 : x
  2. Step 2: Convert to fraction form
    145,432.50/304,041 = 304,041/x
  3. Step 3: Cross multiply
    145,432.50x = 304,041 × 304,041
  4. Step 4: Simplify right side
    145,432.50x = 92,440,929,681
  5. Step 5: Solve for x
    x = 92,440,929,681/145,432.50
  6. Step 6: Final answer
    x = 635,627.73

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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.