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Finding the Third Proportional to 179,349.19 and 288,980.16

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Solution

The third proportional to 179,349.19 and 288,980.16 is: 465,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,349.19 : 288,980.16 = 288,980.16 : x
  2. Step 2: Convert to fraction form
    179,349.19/288,980.16 = 288,980.16/x
  3. Step 3: Cross multiply
    179,349.19x = 288,980.16 × 288,980.16
  4. Step 4: Simplify right side
    179,349.19x = 83,509,530,706.27
  5. Step 5: Solve for x
    x = 83,509,530,706.27/179,349.19
  6. Step 6: Final answer
    x = 465,625.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.