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Finding the Third Proportional to 145,313 and 226,578

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Solution

The third proportional to 145,313 and 226,578 is: 353,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,313 : 226,578 = 226,578 : x
  2. Step 2: Convert to fraction form
    145,313/226,578 = 226,578/x
  3. Step 3: Cross multiply
    145,313x = 226,578 × 226,578
  4. Step 4: Simplify right side
    145,313x = 51,337,590,084
  5. Step 5: Solve for x
    x = 51,337,590,084/145,313
  6. Step 6: Final answer
    x = 353,289.73

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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.