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Finding the Third Proportional to 265,180 and 411,168

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Solution

The third proportional to 265,180 and 411,168 is: 637,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,180 : 411,168 = 411,168 : x
  2. Step 2: Convert to fraction form
    265,180/411,168 = 411,168/x
  3. Step 3: Cross multiply
    265,180x = 411,168 × 411,168
  4. Step 4: Simplify right side
    265,180x = 169,059,124,224
  5. Step 5: Solve for x
    x = 169,059,124,224/265,180
  6. Step 6: Final answer
    x = 637,525.92

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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.