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Finding the Third Proportional to 155,205 and 331,034

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Solution

The third proportional to 155,205 and 331,034 is: 706,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,205 : 331,034 = 331,034 : x
  2. Step 2: Convert to fraction form
    155,205/331,034 = 331,034/x
  3. Step 3: Cross multiply
    155,205x = 331,034 × 331,034
  4. Step 4: Simplify right side
    155,205x = 109,583,509,156
  5. Step 5: Solve for x
    x = 109,583,509,156/155,205
  6. Step 6: Final answer
    x = 706,056.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.