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Finding the Third Proportional to 173,576 and 260,364

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Solution

The third proportional to 173,576 and 260,364 is: 390,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,576 : 260,364 = 260,364 : x
  2. Step 2: Convert to fraction form
    173,576/260,364 = 260,364/x
  3. Step 3: Cross multiply
    173,576x = 260,364 × 260,364
  4. Step 4: Simplify right side
    173,576x = 67,789,412,496
  5. Step 5: Solve for x
    x = 67,789,412,496/173,576
  6. Step 6: Final answer
    x = 390,546

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.