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Finding the Third Proportional to 223,810 and 347,060

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Solution

The third proportional to 223,810 and 347,060 is: 538,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,810 : 347,060 = 347,060 : x
  2. Step 2: Convert to fraction form
    223,810/347,060 = 347,060/x
  3. Step 3: Cross multiply
    223,810x = 347,060 × 347,060
  4. Step 4: Simplify right side
    223,810x = 120,450,643,600
  5. Step 5: Solve for x
    x = 120,450,643,600/223,810
  6. Step 6: Final answer
    x = 538,182.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.