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Finding the Third Proportional to 134,196.75 and 293,635.13

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Solution

The third proportional to 134,196.75 and 293,635.13 is: 642,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,196.75 : 293,635.13 = 293,635.13 : x
  2. Step 2: Convert to fraction form
    134,196.75/293,635.13 = 293,635.13/x
  3. Step 3: Cross multiply
    134,196.75x = 293,635.13 × 293,635.13
  4. Step 4: Simplify right side
    134,196.75x = 86,221,586,633.77
  5. Step 5: Solve for x
    x = 86,221,586,633.77/134,196.75
  6. Step 6: Final answer
    x = 642,501.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.