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Finding the Third Proportional to 172,422 and 252,066

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Solution

The third proportional to 172,422 and 252,066 is: 368,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422 : 252,066 = 252,066 : x
  2. Step 2: Convert to fraction form
    172,422/252,066 = 252,066/x
  3. Step 3: Cross multiply
    172,422x = 252,066 × 252,066
  4. Step 4: Simplify right side
    172,422x = 63,537,268,356
  5. Step 5: Solve for x
    x = 63,537,268,356/172,422
  6. Step 6: Final answer
    x = 368,498.62

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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.