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Finding the Third Proportional to 184,254 and 270,315

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Solution

The third proportional to 184,254 and 270,315 is: 396,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,254 : 270,315 = 270,315 : x
  2. Step 2: Convert to fraction form
    184,254/270,315 = 270,315/x
  3. Step 3: Cross multiply
    184,254x = 270,315 × 270,315
  4. Step 4: Simplify right side
    184,254x = 73,070,199,225
  5. Step 5: Solve for x
    x = 73,070,199,225/184,254
  6. Step 6: Final answer
    x = 396,573.20

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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.