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Finding the Third Proportional to 131,308 and 191,221

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Solution

The third proportional to 131,308 and 191,221 is: 278,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,308 : 191,221 = 191,221 : x
  2. Step 2: Convert to fraction form
    131,308/191,221 = 191,221/x
  3. Step 3: Cross multiply
    131,308x = 191,221 × 191,221
  4. Step 4: Simplify right side
    131,308x = 36,565,470,841
  5. Step 5: Solve for x
    x = 36,565,470,841/131,308
  6. Step 6: Final answer
    x = 278,471.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.