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Finding the Third Proportional to 255,025 and 393,510

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Solution

The third proportional to 255,025 and 393,510 is: 607,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,025 : 393,510 = 393,510 : x
  2. Step 2: Convert to fraction form
    255,025/393,510 = 393,510/x
  3. Step 3: Cross multiply
    255,025x = 393,510 × 393,510
  4. Step 4: Simplify right side
    255,025x = 154,850,120,100
  5. Step 5: Solve for x
    x = 154,850,120,100/255,025
  6. Step 6: Final answer
    x = 607,195.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.