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Finding the Third Proportional to 148,374 and 320,508

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Solution

The third proportional to 148,374 and 320,508 is: 692,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,374 : 320,508 = 320,508 : x
  2. Step 2: Convert to fraction form
    148,374/320,508 = 320,508/x
  3. Step 3: Cross multiply
    148,374x = 320,508 × 320,508
  4. Step 4: Simplify right side
    148,374x = 102,725,378,064
  5. Step 5: Solve for x
    x = 102,725,378,064/148,374
  6. Step 6: Final answer
    x = 692,340.83

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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.