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Finding the Third Proportional to 133,407 and 294,819.75

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Solution

The third proportional to 133,407 and 294,819.75 is: 651,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407 : 294,819.75 = 294,819.75 : x
  2. Step 2: Convert to fraction form
    133,407/294,819.75 = 294,819.75/x
  3. Step 3: Cross multiply
    133,407x = 294,819.75 × 294,819.75
  4. Step 4: Simplify right side
    133,407x = 86,918,684,990.06
  5. Step 5: Solve for x
    x = 86,918,684,990.06/133,407
  6. Step 6: Final answer
    x = 651,530.17

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.