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Finding the Third Proportional to 223,670 and 447,178

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Solution

The third proportional to 223,670 and 447,178 is: 894,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,670 : 447,178 = 447,178 : x
  2. Step 2: Convert to fraction form
    223,670/447,178 = 447,178/x
  3. Step 3: Cross multiply
    223,670x = 447,178 × 447,178
  4. Step 4: Simplify right side
    223,670x = 199,968,163,684
  5. Step 5: Solve for x
    x = 199,968,163,684/223,670
  6. Step 6: Final answer
    x = 894,032.12

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.