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Finding the Third Proportional to 167,946.75 and 260,033.63

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Solution

The third proportional to 167,946.75 and 260,033.63 is: 402,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,946.75 : 260,033.63 = 260,033.63 : x
  2. Step 2: Convert to fraction form
    167,946.75/260,033.63 = 260,033.63/x
  3. Step 3: Cross multiply
    167,946.75x = 260,033.63 × 260,033.63
  4. Step 4: Simplify right side
    167,946.75x = 67,617,486,130.64
  5. Step 5: Solve for x
    x = 67,617,486,130.64/167,946.75
  6. Step 6: Final answer
    x = 402,612.65

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