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Finding the Third Proportional to 115,384.50 and 174,615.75

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Solution

The third proportional to 115,384.50 and 174,615.75 is: 264,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,384.50 : 174,615.75 = 174,615.75 : x
  2. Step 2: Convert to fraction form
    115,384.50/174,615.75 = 174,615.75/x
  3. Step 3: Cross multiply
    115,384.50x = 174,615.75 × 174,615.75
  4. Step 4: Simplify right side
    115,384.50x = 30,490,660,148.06
  5. Step 5: Solve for x
    x = 30,490,660,148.06/115,384.50
  6. Step 6: Final answer
    x = 264,252.65

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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.