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Finding the Third Proportional to 187,984 and 255,184

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Solution

The third proportional to 187,984 and 255,184 is: 346,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,984 : 255,184 = 255,184 : x
  2. Step 2: Convert to fraction form
    187,984/255,184 = 255,184/x
  3. Step 3: Cross multiply
    187,984x = 255,184 × 255,184
  4. Step 4: Simplify right side
    187,984x = 65,118,873,856
  5. Step 5: Solve for x
    x = 65,118,873,856/187,984
  6. Step 6: Final answer
    x = 346,406.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.