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Finding the Third Proportional to 148,598 and 320,884

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Solution

The third proportional to 148,598 and 320,884 is: 692,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,598 : 320,884 = 320,884 : x
  2. Step 2: Convert to fraction form
    148,598/320,884 = 320,884/x
  3. Step 3: Cross multiply
    148,598x = 320,884 × 320,884
  4. Step 4: Simplify right side
    148,598x = 102,966,541,456
  5. Step 5: Solve for x
    x = 102,966,541,456/148,598
  6. Step 6: Final answer
    x = 692,920.10

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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.