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Finding the Third Proportional to 144,483 and 191,712

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Solution

The third proportional to 144,483 and 191,712 is: 254,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,483 : 191,712 = 191,712 : x
  2. Step 2: Convert to fraction form
    144,483/191,712 = 191,712/x
  3. Step 3: Cross multiply
    144,483x = 191,712 × 191,712
  4. Step 4: Simplify right side
    144,483x = 36,753,490,944
  5. Step 5: Solve for x
    x = 36,753,490,944/144,483
  6. Step 6: Final answer
    x = 254,379.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.