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Finding the Third Proportional to 175,568 and 384,440

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Solution

The third proportional to 175,568 and 384,440 is: 841,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,568 : 384,440 = 384,440 : x
  2. Step 2: Convert to fraction form
    175,568/384,440 = 384,440/x
  3. Step 3: Cross multiply
    175,568x = 384,440 × 384,440
  4. Step 4: Simplify right side
    175,568x = 147,794,113,600
  5. Step 5: Solve for x
    x = 147,794,113,600/175,568
  6. Step 6: Final answer
    x = 841,805.53

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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.