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Finding the Third Proportional to 173,964 and 269,364

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Solution

The third proportional to 173,964 and 269,364 is: 417,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,964 : 269,364 = 269,364 : x
  2. Step 2: Convert to fraction form
    173,964/269,364 = 269,364/x
  3. Step 3: Cross multiply
    173,964x = 269,364 × 269,364
  4. Step 4: Simplify right side
    173,964x = 72,556,964,496
  5. Step 5: Solve for x
    x = 72,556,964,496/173,964
  6. Step 6: Final answer
    x = 417,080.34

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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.