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Finding the Third Proportional to 145,298 and 220,120

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Solution

The third proportional to 145,298 and 220,120 is: 333,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,298 : 220,120 = 220,120 : x
  2. Step 2: Convert to fraction form
    145,298/220,120 = 220,120/x
  3. Step 3: Cross multiply
    145,298x = 220,120 × 220,120
  4. Step 4: Simplify right side
    145,298x = 48,452,814,400
  5. Step 5: Solve for x
    x = 48,452,814,400/145,298
  6. Step 6: Final answer
    x = 333,472.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.