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Finding the Third Proportional to 134,836.50 and 293,456.25

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Solution

The third proportional to 134,836.50 and 293,456.25 is: 638,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,836.50 : 293,456.25 = 293,456.25 : x
  2. Step 2: Convert to fraction form
    134,836.50/293,456.25 = 293,456.25/x
  3. Step 3: Cross multiply
    134,836.50x = 293,456.25 × 293,456.25
  4. Step 4: Simplify right side
    134,836.50x = 86,116,570,664.06
  5. Step 5: Solve for x
    x = 86,116,570,664.06/134,836.50
  6. Step 6: Final answer
    x = 638,674.03

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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.