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Finding the Third Proportional to 207,020.81 and 313,637.06

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Solution

The third proportional to 207,020.81 and 313,637.06 is: 475,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,020.81 : 313,637.06 = 313,637.06 : x
  2. Step 2: Convert to fraction form
    207,020.81/313,637.06 = 313,637.06/x
  3. Step 3: Cross multiply
    207,020.81x = 313,637.06 × 313,637.06
  4. Step 4: Simplify right side
    207,020.81x = 98,368,206,973.63
  5. Step 5: Solve for x
    x = 98,368,206,973.63/207,020.81
  6. Step 6: Final answer
    x = 475,160.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.