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Finding the Third Proportional to 182,284.50 and 284,943

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Solution

The third proportional to 182,284.50 and 284,943 is: 445,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,284.50 : 284,943 = 284,943 : x
  2. Step 2: Convert to fraction form
    182,284.50/284,943 = 284,943/x
  3. Step 3: Cross multiply
    182,284.50x = 284,943 × 284,943
  4. Step 4: Simplify right side
    182,284.50x = 81,192,513,249
  5. Step 5: Solve for x
    x = 81,192,513,249/182,284.50
  6. Step 6: Final answer
    x = 445,416.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.