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Finding the Third Proportional to 215,520 and 471,168

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Solution

The third proportional to 215,520 and 471,168 is: 1,030,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,520 : 471,168 = 471,168 : x
  2. Step 2: Convert to fraction form
    215,520/471,168 = 471,168/x
  3. Step 3: Cross multiply
    215,520x = 471,168 × 471,168
  4. Step 4: Simplify right side
    215,520x = 221,999,284,224
  5. Step 5: Solve for x
    x = 221,999,284,224/215,520
  6. Step 6: Final answer
    x = 1,030,063.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.