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Finding the Third Proportional to 255,078 and 374,832

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Solution

The third proportional to 255,078 and 374,832 is: 550,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,078 : 374,832 = 374,832 : x
  2. Step 2: Convert to fraction form
    255,078/374,832 = 374,832/x
  3. Step 3: Cross multiply
    255,078x = 374,832 × 374,832
  4. Step 4: Simplify right side
    255,078x = 140,499,028,224
  5. Step 5: Solve for x
    x = 140,499,028,224/255,078
  6. Step 6: Final answer
    x = 550,808.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.