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Finding the Third Proportional to 148,592 and 320,440

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Solution

The third proportional to 148,592 and 320,440 is: 691,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,592 : 320,440 = 320,440 : x
  2. Step 2: Convert to fraction form
    148,592/320,440 = 320,440/x
  3. Step 3: Cross multiply
    148,592x = 320,440 × 320,440
  4. Step 4: Simplify right side
    148,592x = 102,681,793,600
  5. Step 5: Solve for x
    x = 102,681,793,600/148,592
  6. Step 6: Final answer
    x = 691,031.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.