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Finding the Third Proportional to 280,400 and 600,160

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Solution

The third proportional to 280,400 and 600,160 is: 1,284,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400 : 600,160 = 600,160 : x
  2. Step 2: Convert to fraction form
    280,400/600,160 = 600,160/x
  3. Step 3: Cross multiply
    280,400x = 600,160 × 600,160
  4. Step 4: Simplify right side
    280,400x = 360,192,025,600
  5. Step 5: Solve for x
    x = 360,192,025,600/280,400
  6. Step 6: Final answer
    x = 1,284,565.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.