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Finding the Third Proportional to 133,088.06 and 290,261.60

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Solution

The third proportional to 133,088.06 and 290,261.60 is: 633,053.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088.06 : 290,261.60 = 290,261.60 : x
  2. Step 2: Convert to fraction form
    133,088.06/290,261.60 = 290,261.60/x
  3. Step 3: Cross multiply
    133,088.06x = 290,261.60 × 290,261.60
  4. Step 4: Simplify right side
    133,088.06x = 84,251,797,341.63
  5. Step 5: Solve for x
    x = 84,251,797,341.63/133,088.06
  6. Step 6: Final answer
    x = 633,053.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.