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Finding the Third Proportional to 172,233 and 253,246.50

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Solution

The third proportional to 172,233 and 253,246.50 is: 372,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,233 : 253,246.50 = 253,246.50 : x
  2. Step 2: Convert to fraction form
    172,233/253,246.50 = 253,246.50/x
  3. Step 3: Cross multiply
    172,233x = 253,246.50 × 253,246.50
  4. Step 4: Simplify right side
    172,233x = 64,133,789,762.25
  5. Step 5: Solve for x
    x = 64,133,789,762.25/172,233
  6. Step 6: Final answer
    x = 372,366.44

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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.