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Finding the Third Proportional to 150,303 and 234,060

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Solution

The third proportional to 150,303 and 234,060 is: 364,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,303 : 234,060 = 234,060 : x
  2. Step 2: Convert to fraction form
    150,303/234,060 = 234,060/x
  3. Step 3: Cross multiply
    150,303x = 234,060 × 234,060
  4. Step 4: Simplify right side
    150,303x = 54,784,083,600
  5. Step 5: Solve for x
    x = 54,784,083,600/150,303
  6. Step 6: Final answer
    x = 364,490.95

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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.