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Finding the Third Proportional to 174,870.56 and 265,720.50

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Solution

The third proportional to 174,870.56 and 265,720.50 is: 403,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,870.56 : 265,720.50 = 265,720.50 : x
  2. Step 2: Convert to fraction form
    174,870.56/265,720.50 = 265,720.50/x
  3. Step 3: Cross multiply
    174,870.56x = 265,720.50 × 265,720.50
  4. Step 4: Simplify right side
    174,870.56x = 70,607,384,120.25
  5. Step 5: Solve for x
    x = 70,607,384,120.25/174,870.56
  6. Step 6: Final answer
    x = 403,769.41

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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.