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Finding the Third Proportional to 72,447 and 160,446

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Solution

The third proportional to 72,447 and 160,446 is: 355,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,447 : 160,446 = 160,446 : x
  2. Step 2: Convert to fraction form
    72,447/160,446 = 160,446/x
  3. Step 3: Cross multiply
    72,447x = 160,446 × 160,446
  4. Step 4: Simplify right side
    72,447x = 25,742,918,916
  5. Step 5: Solve for x
    x = 25,742,918,916/72,447
  6. Step 6: Final answer
    x = 355,334.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.