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Finding the Third Proportional to 150,264.50 and 234,013

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Solution

The third proportional to 150,264.50 and 234,013 is: 364,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,264.50 : 234,013 = 234,013 : x
  2. Step 2: Convert to fraction form
    150,264.50/234,013 = 234,013/x
  3. Step 3: Cross multiply
    150,264.50x = 234,013 × 234,013
  4. Step 4: Simplify right side
    150,264.50x = 54,762,084,169
  5. Step 5: Solve for x
    x = 54,762,084,169/150,264.50
  6. Step 6: Final answer
    x = 364,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.