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Finding the Third Proportional to 173,223 and 253,840.50

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Solution

The third proportional to 173,223 and 253,840.50 is: 371,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,223 : 253,840.50 = 253,840.50 : x
  2. Step 2: Convert to fraction form
    173,223/253,840.50 = 253,840.50/x
  3. Step 3: Cross multiply
    173,223x = 253,840.50 × 253,840.50
  4. Step 4: Simplify right side
    173,223x = 64,434,999,440.25
  5. Step 5: Solve for x
    x = 64,434,999,440.25/173,223
  6. Step 6: Final answer
    x = 371,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.