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Finding the Third Proportional to 172,467 and 252,004.50

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Solution

The third proportional to 172,467 and 252,004.50 is: 368,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,467 : 252,004.50 = 252,004.50 : x
  2. Step 2: Convert to fraction form
    172,467/252,004.50 = 252,004.50/x
  3. Step 3: Cross multiply
    172,467x = 252,004.50 × 252,004.50
  4. Step 4: Simplify right side
    172,467x = 63,506,268,020.25
  5. Step 5: Solve for x
    x = 63,506,268,020.25/172,467
  6. Step 6: Final answer
    x = 368,222.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.