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Finding the Third Proportional to 174,384 and 269,964

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Solution

The third proportional to 174,384 and 269,964 is: 417,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,384 : 269,964 = 269,964 : x
  2. Step 2: Convert to fraction form
    174,384/269,964 = 269,964/x
  3. Step 3: Cross multiply
    174,384x = 269,964 × 269,964
  4. Step 4: Simplify right side
    174,384x = 72,880,561,296
  5. Step 5: Solve for x
    x = 72,880,561,296/174,384
  6. Step 6: Final answer
    x = 417,931.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.