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Finding the Third Proportional to 182,624 and 370,270

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Solution

The third proportional to 182,624 and 370,270 is: 750,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,624 : 370,270 = 370,270 : x
  2. Step 2: Convert to fraction form
    182,624/370,270 = 370,270/x
  3. Step 3: Cross multiply
    182,624x = 370,270 × 370,270
  4. Step 4: Simplify right side
    182,624x = 137,099,872,900
  5. Step 5: Solve for x
    x = 137,099,872,900/182,624
  6. Step 6: Final answer
    x = 750,722.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.