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Finding the Third Proportional to 150,753 and 234,429

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Solution

The third proportional to 150,753 and 234,429 is: 364,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,753 : 234,429 = 234,429 : x
  2. Step 2: Convert to fraction form
    150,753/234,429 = 234,429/x
  3. Step 3: Cross multiply
    150,753x = 234,429 × 234,429
  4. Step 4: Simplify right side
    150,753x = 54,956,956,041
  5. Step 5: Solve for x
    x = 54,956,956,041/150,753
  6. Step 6: Final answer
    x = 364,549.67

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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.