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Finding the Third Proportional to 182,031.50 and 284,929

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Solution

The third proportional to 182,031.50 and 284,929 is: 445,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,031.50 : 284,929 = 284,929 : x
  2. Step 2: Convert to fraction form
    182,031.50/284,929 = 284,929/x
  3. Step 3: Cross multiply
    182,031.50x = 284,929 × 284,929
  4. Step 4: Simplify right side
    182,031.50x = 81,184,535,041
  5. Step 5: Solve for x
    x = 81,184,535,041/182,031.50
  6. Step 6: Final answer
    x = 445,991.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.