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Finding the Third Proportional to 175,410 and 384,228

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Solution

The third proportional to 175,410 and 384,228 is: 841,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,410 : 384,228 = 384,228 : x
  2. Step 2: Convert to fraction form
    175,410/384,228 = 384,228/x
  3. Step 3: Cross multiply
    175,410x = 384,228 × 384,228
  4. Step 4: Simplify right side
    175,410x = 147,631,155,984
  5. Step 5: Solve for x
    x = 147,631,155,984/175,410
  6. Step 6: Final answer
    x = 841,634.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.