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Finding the Third Proportional to 70,644 and 153,438

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Solution

The third proportional to 70,644 and 153,438 is: 333,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,644 : 153,438 = 153,438 : x
  2. Step 2: Convert to fraction form
    70,644/153,438 = 153,438/x
  3. Step 3: Cross multiply
    70,644x = 153,438 × 153,438
  4. Step 4: Simplify right side
    70,644x = 23,543,219,844
  5. Step 5: Solve for x
    x = 23,543,219,844/70,644
  6. Step 6: Final answer
    x = 333,265.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.