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Finding the Third Proportional to 208,242 and 456,228

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Solution

The third proportional to 208,242 and 456,228 is: 999,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242 : 456,228 = 456,228 : x
  2. Step 2: Convert to fraction form
    208,242/456,228 = 456,228/x
  3. Step 3: Cross multiply
    208,242x = 456,228 × 456,228
  4. Step 4: Simplify right side
    208,242x = 208,143,987,984
  5. Step 5: Solve for x
    x = 208,143,987,984/208,242
  6. Step 6: Final answer
    x = 999,529.34

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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.