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Finding the Third Proportional to 206,458.88 and 302,216.06

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Solution

The third proportional to 206,458.88 and 302,216.06 is: 442,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458.88 : 302,216.06 = 302,216.06 : x
  2. Step 2: Convert to fraction form
    206,458.88/302,216.06 = 302,216.06/x
  3. Step 3: Cross multiply
    206,458.88x = 302,216.06 × 302,216.06
  4. Step 4: Simplify right side
    206,458.88x = 91,334,548,433.00
  5. Step 5: Solve for x
    x = 91,334,548,433.00/206,458.88
  6. Step 6: Final answer
    x = 442,386.16

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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.