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Finding the Third Proportional to 223,142 and 490,510

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Solution

The third proportional to 223,142 and 490,510 is: 1,078,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,142 : 490,510 = 490,510 : x
  2. Step 2: Convert to fraction form
    223,142/490,510 = 490,510/x
  3. Step 3: Cross multiply
    223,142x = 490,510 × 490,510
  4. Step 4: Simplify right side
    223,142x = 240,600,060,100
  5. Step 5: Solve for x
    x = 240,600,060,100/223,142
  6. Step 6: Final answer
    x = 1,078,237.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.