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Finding the Third Proportional to 184,428 and 283,607

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Solution

The third proportional to 184,428 and 283,607 is: 436,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,428 : 283,607 = 283,607 : x
  2. Step 2: Convert to fraction form
    184,428/283,607 = 283,607/x
  3. Step 3: Cross multiply
    184,428x = 283,607 × 283,607
  4. Step 4: Simplify right side
    184,428x = 80,432,930,449
  5. Step 5: Solve for x
    x = 80,432,930,449/184,428
  6. Step 6: Final answer
    x = 436,121.04

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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.