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Finding the Third Proportional to 216,080 and 471,148

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Solution

The third proportional to 216,080 and 471,148 is: 1,027,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,080 : 471,148 = 471,148 : x
  2. Step 2: Convert to fraction form
    216,080/471,148 = 471,148/x
  3. Step 3: Cross multiply
    216,080x = 471,148 × 471,148
  4. Step 4: Simplify right side
    216,080x = 221,980,437,904
  5. Step 5: Solve for x
    x = 221,980,437,904/216,080
  6. Step 6: Final answer
    x = 1,027,306.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.