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Finding the Third Proportional to 184,655 and 435,659

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Solution

The third proportional to 184,655 and 435,659 is: 1,027,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,655 : 435,659 = 435,659 : x
  2. Step 2: Convert to fraction form
    184,655/435,659 = 435,659/x
  3. Step 3: Cross multiply
    184,655x = 435,659 × 435,659
  4. Step 4: Simplify right side
    184,655x = 189,798,764,281
  5. Step 5: Solve for x
    x = 189,798,764,281/184,655
  6. Step 6: Final answer
    x = 1,027,856.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.