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Finding the Third Proportional to 182,020 and 376,584

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Solution

The third proportional to 182,020 and 376,584 is: 779,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,020 : 376,584 = 376,584 : x
  2. Step 2: Convert to fraction form
    182,020/376,584 = 376,584/x
  3. Step 3: Cross multiply
    182,020x = 376,584 × 376,584
  4. Step 4: Simplify right side
    182,020x = 141,815,509,056
  5. Step 5: Solve for x
    x = 141,815,509,056/182,020
  6. Step 6: Final answer
    x = 779,120.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.