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Finding the Third Proportional to 225,401 and 348,832.50

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Solution

The third proportional to 225,401 and 348,832.50 is: 539,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,401 : 348,832.50 = 348,832.50 : x
  2. Step 2: Convert to fraction form
    225,401/348,832.50 = 348,832.50/x
  3. Step 3: Cross multiply
    225,401x = 348,832.50 × 348,832.50
  4. Step 4: Simplify right side
    225,401x = 121,684,113,056.25
  5. Step 5: Solve for x
    x = 121,684,113,056.25/225,401
  6. Step 6: Final answer
    x = 539,856.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.