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Finding the Third Proportional to 254,350 and 377,205

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Solution

The third proportional to 254,350 and 377,205 is: 559,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,350 : 377,205 = 377,205 : x
  2. Step 2: Convert to fraction form
    254,350/377,205 = 377,205/x
  3. Step 3: Cross multiply
    254,350x = 377,205 × 377,205
  4. Step 4: Simplify right side
    254,350x = 142,283,612,025
  5. Step 5: Solve for x
    x = 142,283,612,025/254,350
  6. Step 6: Final answer
    x = 559,400.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.