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Finding the Third Proportional to 172,574 and 403,063

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Solution

The third proportional to 172,574 and 403,063 is: 941,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,574 : 403,063 = 403,063 : x
  2. Step 2: Convert to fraction form
    172,574/403,063 = 403,063/x
  3. Step 3: Cross multiply
    172,574x = 403,063 × 403,063
  4. Step 4: Simplify right side
    172,574x = 162,459,781,969
  5. Step 5: Solve for x
    x = 162,459,781,969/172,574
  6. Step 6: Final answer
    x = 941,391.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.