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Finding the Third Proportional to 181,247.63 and 280,072.69

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Solution

The third proportional to 181,247.63 and 280,072.69 is: 432,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,247.63 : 280,072.69 = 280,072.69 : x
  2. Step 2: Convert to fraction form
    181,247.63/280,072.69 = 280,072.69/x
  3. Step 3: Cross multiply
    181,247.63x = 280,072.69 × 280,072.69
  4. Step 4: Simplify right side
    181,247.63x = 78,440,710,283.47
  5. Step 5: Solve for x
    x = 78,440,710,283.47/181,247.63
  6. Step 6: Final answer
    x = 432,782.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.