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Finding the Third Proportional to 175,276 and 382,584

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Solution

The third proportional to 175,276 and 382,584 is: 835,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,276 : 382,584 = 382,584 : x
  2. Step 2: Convert to fraction form
    175,276/382,584 = 382,584/x
  3. Step 3: Cross multiply
    175,276x = 382,584 × 382,584
  4. Step 4: Simplify right side
    175,276x = 146,370,517,056
  5. Step 5: Solve for x
    x = 146,370,517,056/175,276
  6. Step 6: Final answer
    x = 835,085.90

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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.