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Finding the Third Proportional to 115,184.53 and 174,386.67

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Solution

The third proportional to 115,184.53 and 174,386.67 is: 264,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,184.53 : 174,386.67 = 174,386.67 : x
  2. Step 2: Convert to fraction form
    115,184.53/174,386.67 = 174,386.67/x
  3. Step 3: Cross multiply
    115,184.53x = 174,386.67 × 174,386.67
  4. Step 4: Simplify right side
    115,184.53x = 30,410,711,327.64
  5. Step 5: Solve for x
    x = 30,410,711,327.64/115,184.53
  6. Step 6: Final answer
    x = 264,017.32

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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.