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Finding the Third Proportional to 150,352 and 224,788

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Solution

The third proportional to 150,352 and 224,788 is: 336,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,352 : 224,788 = 224,788 : x
  2. Step 2: Convert to fraction form
    150,352/224,788 = 224,788/x
  3. Step 3: Cross multiply
    150,352x = 224,788 × 224,788
  4. Step 4: Simplify right side
    150,352x = 50,529,644,944
  5. Step 5: Solve for x
    x = 50,529,644,944/150,352
  6. Step 6: Final answer
    x = 336,075.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.