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Finding the Third Proportional to 232,166 and 508,077

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Solution

The third proportional to 232,166 and 508,077 is: 1,111,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,166 : 508,077 = 508,077 : x
  2. Step 2: Convert to fraction form
    232,166/508,077 = 508,077/x
  3. Step 3: Cross multiply
    232,166x = 508,077 × 508,077
  4. Step 4: Simplify right side
    232,166x = 258,142,237,929
  5. Step 5: Solve for x
    x = 258,142,237,929/232,166
  6. Step 6: Final answer
    x = 1,111,886.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.