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Finding the Third Proportional to 180,896.63 and 265,924.69

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Solution

The third proportional to 180,896.63 and 265,924.69 is: 390,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,896.63 : 265,924.69 = 265,924.69 : x
  2. Step 2: Convert to fraction form
    180,896.63/265,924.69 = 265,924.69/x
  3. Step 3: Cross multiply
    180,896.63x = 265,924.69 × 265,924.69
  4. Step 4: Simplify right side
    180,896.63x = 70,715,939,421.97
  5. Step 5: Solve for x
    x = 70,715,939,421.97/180,896.63
  6. Step 6: Final answer
    x = 390,919.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.