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Finding the Third Proportional to 115,395.50 and 174,637.50

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Solution

The third proportional to 115,395.50 and 174,637.50 is: 264,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,395.50 : 174,637.50 = 174,637.50 : x
  2. Step 2: Convert to fraction form
    115,395.50/174,637.50 = 174,637.50/x
  3. Step 3: Cross multiply
    115,395.50x = 174,637.50 × 174,637.50
  4. Step 4: Simplify right side
    115,395.50x = 30,498,256,406.25
  5. Step 5: Solve for x
    x = 30,498,256,406.25/115,395.50
  6. Step 6: Final answer
    x = 264,293.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.