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Finding the Third Proportional to 185,440 and 264,929

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Solution

The third proportional to 185,440 and 264,929 is: 378,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,440 : 264,929 = 264,929 : x
  2. Step 2: Convert to fraction form
    185,440/264,929 = 264,929/x
  3. Step 3: Cross multiply
    185,440x = 264,929 × 264,929
  4. Step 4: Simplify right side
    185,440x = 70,187,375,041
  5. Step 5: Solve for x
    x = 70,187,375,041/185,440
  6. Step 6: Final answer
    x = 378,491.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.