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Finding the Third Proportional to 145,660 and 199,346

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Solution

The third proportional to 145,660 and 199,346 is: 272,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,660 : 199,346 = 199,346 : x
  2. Step 2: Convert to fraction form
    145,660/199,346 = 199,346/x
  3. Step 3: Cross multiply
    145,660x = 199,346 × 199,346
  4. Step 4: Simplify right side
    145,660x = 39,738,827,716
  5. Step 5: Solve for x
    x = 39,738,827,716/145,660
  6. Step 6: Final answer
    x = 272,819.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.