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Finding the Third Proportional to 137,953.13 and 295,584.19

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Solution

The third proportional to 137,953.13 and 295,584.19 is: 633,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,953.13 : 295,584.19 = 295,584.19 : x
  2. Step 2: Convert to fraction form
    137,953.13/295,584.19 = 295,584.19/x
  3. Step 3: Cross multiply
    137,953.13x = 295,584.19 × 295,584.19
  4. Step 4: Simplify right side
    137,953.13x = 87,370,011,900.04
  5. Step 5: Solve for x
    x = 87,370,011,900.04/137,953.13
  6. Step 6: Final answer
    x = 633,331.15

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.