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Finding the Third Proportional to 154,062 and 333,395

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Solution

The third proportional to 154,062 and 333,395 is: 721,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,062 : 333,395 = 333,395 : x
  2. Step 2: Convert to fraction form
    154,062/333,395 = 333,395/x
  3. Step 3: Cross multiply
    154,062x = 333,395 × 333,395
  4. Step 4: Simplify right side
    154,062x = 111,152,226,025
  5. Step 5: Solve for x
    x = 111,152,226,025/154,062
  6. Step 6: Final answer
    x = 721,477.24

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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.