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Finding the Third Proportional to 260,176 and 380,320

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Solution

The third proportional to 260,176 and 380,320 is: 555,944.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,176 : 380,320 = 380,320 : x
  2. Step 2: Convert to fraction form
    260,176/380,320 = 380,320/x
  3. Step 3: Cross multiply
    260,176x = 380,320 × 380,320
  4. Step 4: Simplify right side
    260,176x = 144,643,302,400
  5. Step 5: Solve for x
    x = 144,643,302,400/260,176
  6. Step 6: Final answer
    x = 555,944.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.