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Finding the Third Proportional to 173,491.50 and 268,114.50

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Solution

The third proportional to 173,491.50 and 268,114.50 is: 414,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,491.50 : 268,114.50 = 268,114.50 : x
  2. Step 2: Convert to fraction form
    173,491.50/268,114.50 = 268,114.50/x
  3. Step 3: Cross multiply
    173,491.50x = 268,114.50 × 268,114.50
  4. Step 4: Simplify right side
    173,491.50x = 71,885,385,110.25
  5. Step 5: Solve for x
    x = 71,885,385,110.25/173,491.50
  6. Step 6: Final answer
    x = 414,345.29

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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.