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Finding the Third Proportional to 172,572 and 403,058

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Solution

The third proportional to 172,572 and 403,058 is: 941,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,572 : 403,058 = 403,058 : x
  2. Step 2: Convert to fraction form
    172,572/403,058 = 403,058/x
  3. Step 3: Cross multiply
    172,572x = 403,058 × 403,058
  4. Step 4: Simplify right side
    172,572x = 162,455,751,364
  5. Step 5: Solve for x
    x = 162,455,751,364/172,572
  6. Step 6: Final answer
    x = 941,379.55

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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.