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Finding the Third Proportional to 172,054 and 404,807

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Solution

The third proportional to 172,054 and 404,807 is: 952,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,054 : 404,807 = 404,807 : x
  2. Step 2: Convert to fraction form
    172,054/404,807 = 404,807/x
  3. Step 3: Cross multiply
    172,054x = 404,807 × 404,807
  4. Step 4: Simplify right side
    172,054x = 163,868,707,249
  5. Step 5: Solve for x
    x = 163,868,707,249/172,054
  6. Step 6: Final answer
    x = 952,426.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.