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Finding the Third Proportional to 150,465 and 233,733

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Solution

The third proportional to 150,465 and 233,733 is: 363,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465 : 233,733 = 233,733 : x
  2. Step 2: Convert to fraction form
    150,465/233,733 = 233,733/x
  3. Step 3: Cross multiply
    150,465x = 233,733 × 233,733
  4. Step 4: Simplify right side
    150,465x = 54,631,115,289
  5. Step 5: Solve for x
    x = 54,631,115,289/150,465
  6. Step 6: Final answer
    x = 363,081.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.