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Finding the Third Proportional to 173,653.50 and 356,523

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Solution

The third proportional to 173,653.50 and 356,523 is: 731,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,653.50 : 356,523 = 356,523 : x
  2. Step 2: Convert to fraction form
    173,653.50/356,523 = 356,523/x
  3. Step 3: Cross multiply
    173,653.50x = 356,523 × 356,523
  4. Step 4: Simplify right side
    173,653.50x = 127,108,649,529
  5. Step 5: Solve for x
    x = 127,108,649,529/173,653.50
  6. Step 6: Final answer
    x = 731,967.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.