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Finding the Third Proportional to 177,359.63 and 280,801.69

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Solution

The third proportional to 177,359.63 and 280,801.69 is: 444,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,359.63 : 280,801.69 = 280,801.69 : x
  2. Step 2: Convert to fraction form
    177,359.63/280,801.69 = 280,801.69/x
  3. Step 3: Cross multiply
    177,359.63x = 280,801.69 × 280,801.69
  4. Step 4: Simplify right side
    177,359.63x = 78,849,587,702.85
  5. Step 5: Solve for x
    x = 78,849,587,702.85/177,359.63
  6. Step 6: Final answer
    x = 444,574.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.