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Finding the Third Proportional to 119,184 and 176,714.44

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Solution

The third proportional to 119,184 and 176,714.44 is: 262,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,184 : 176,714.44 = 176,714.44 : x
  2. Step 2: Convert to fraction form
    119,184/176,714.44 = 176,714.44/x
  3. Step 3: Cross multiply
    119,184x = 176,714.44 × 176,714.44
  4. Step 4: Simplify right side
    119,184x = 31,227,992,420.94
  5. Step 5: Solve for x
    x = 31,227,992,420.94/119,184
  6. Step 6: Final answer
    x = 262,014.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.