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Finding the Third Proportional to 173,856 and 248,146.50

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Solution

The third proportional to 173,856 and 248,146.50 is: 354,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,856 : 248,146.50 = 248,146.50 : x
  2. Step 2: Convert to fraction form
    173,856/248,146.50 = 248,146.50/x
  3. Step 3: Cross multiply
    173,856x = 248,146.50 × 248,146.50
  4. Step 4: Simplify right side
    173,856x = 61,576,685,462.25
  5. Step 5: Solve for x
    x = 61,576,685,462.25/173,856
  6. Step 6: Final answer
    x = 354,182.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.