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Finding the Third Proportional to 150,369 and 356,230.50

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Solution

The third proportional to 150,369 and 356,230.50 is: 843,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,369 : 356,230.50 = 356,230.50 : x
  2. Step 2: Convert to fraction form
    150,369/356,230.50 = 356,230.50/x
  3. Step 3: Cross multiply
    150,369x = 356,230.50 × 356,230.50
  4. Step 4: Simplify right side
    150,369x = 126,900,169,130.25
  5. Step 5: Solve for x
    x = 126,900,169,130.25/150,369
  6. Step 6: Final answer
    x = 843,925.07

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.