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Finding the Third Proportional to 147,784 and 223,228

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Solution

The third proportional to 147,784 and 223,228 is: 337,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,784 : 223,228 = 223,228 : x
  2. Step 2: Convert to fraction form
    147,784/223,228 = 223,228/x
  3. Step 3: Cross multiply
    147,784x = 223,228 × 223,228
  4. Step 4: Simplify right side
    147,784x = 49,830,739,984
  5. Step 5: Solve for x
    x = 49,830,739,984/147,784
  6. Step 6: Final answer
    x = 337,186.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.