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Finding the Third Proportional to 154,521 and 320,884.50

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Solution

The third proportional to 154,521 and 320,884.50 is: 666,361.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,521 : 320,884.50 = 320,884.50 : x
  2. Step 2: Convert to fraction form
    154,521/320,884.50 = 320,884.50/x
  3. Step 3: Cross multiply
    154,521x = 320,884.50 × 320,884.50
  4. Step 4: Simplify right side
    154,521x = 102,966,862,340.25
  5. Step 5: Solve for x
    x = 102,966,862,340.25/154,521
  6. Step 6: Final answer
    x = 666,361.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.