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Finding the Third Proportional to 223,168 and 461,784

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Solution

The third proportional to 223,168 and 461,784 is: 955,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,168 : 461,784 = 461,784 : x
  2. Step 2: Convert to fraction form
    223,168/461,784 = 461,784/x
  3. Step 3: Cross multiply
    223,168x = 461,784 × 461,784
  4. Step 4: Simplify right side
    223,168x = 213,244,462,656
  5. Step 5: Solve for x
    x = 213,244,462,656/223,168
  6. Step 6: Final answer
    x = 955,533.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.