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Finding the Third Proportional to 182,056 and 387,076

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Solution

The third proportional to 182,056 and 387,076 is: 822,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,056 : 387,076 = 387,076 : x
  2. Step 2: Convert to fraction form
    182,056/387,076 = 387,076/x
  3. Step 3: Cross multiply
    182,056x = 387,076 × 387,076
  4. Step 4: Simplify right side
    182,056x = 149,827,829,776
  5. Step 5: Solve for x
    x = 149,827,829,776/182,056
  6. Step 6: Final answer
    x = 822,976.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.