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Finding the Third Proportional to 131,354 and 208,029

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Solution

The third proportional to 131,354 and 208,029 is: 329,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,354 : 208,029 = 208,029 : x
  2. Step 2: Convert to fraction form
    131,354/208,029 = 208,029/x
  3. Step 3: Cross multiply
    131,354x = 208,029 × 208,029
  4. Step 4: Simplify right side
    131,354x = 43,276,064,841
  5. Step 5: Solve for x
    x = 43,276,064,841/131,354
  6. Step 6: Final answer
    x = 329,461.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.