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Finding the Third Proportional to 175,264 and 382,560

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Solution

The third proportional to 175,264 and 382,560 is: 835,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,264 : 382,560 = 382,560 : x
  2. Step 2: Convert to fraction form
    175,264/382,560 = 382,560/x
  3. Step 3: Cross multiply
    175,264x = 382,560 × 382,560
  4. Step 4: Simplify right side
    175,264x = 146,352,153,600
  5. Step 5: Solve for x
    x = 146,352,153,600/175,264
  6. Step 6: Final answer
    x = 835,038.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.