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Finding the Third Proportional to 144,712 and 226,328

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Solution

The third proportional to 144,712 and 226,328 is: 353,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,712 : 226,328 = 226,328 : x
  2. Step 2: Convert to fraction form
    144,712/226,328 = 226,328/x
  3. Step 3: Cross multiply
    144,712x = 226,328 × 226,328
  4. Step 4: Simplify right side
    144,712x = 51,224,363,584
  5. Step 5: Solve for x
    x = 51,224,363,584/144,712
  6. Step 6: Final answer
    x = 353,974.54

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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.