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Finding the Third Proportional to 133,230 and 286,224

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Solution

The third proportional to 133,230 and 286,224 is: 614,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,230 : 286,224 = 286,224 : x
  2. Step 2: Convert to fraction form
    133,230/286,224 = 286,224/x
  3. Step 3: Cross multiply
    133,230x = 286,224 × 286,224
  4. Step 4: Simplify right side
    133,230x = 81,924,178,176
  5. Step 5: Solve for x
    x = 81,924,178,176/133,230
  6. Step 6: Final answer
    x = 614,907.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.