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Finding the Third Proportional to 174,949.88 and 360,941.06

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Solution

The third proportional to 174,949.88 and 360,941.06 is: 744,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,949.88 : 360,941.06 = 360,941.06 : x
  2. Step 2: Convert to fraction form
    174,949.88/360,941.06 = 360,941.06/x
  3. Step 3: Cross multiply
    174,949.88x = 360,941.06 × 360,941.06
  4. Step 4: Simplify right side
    174,949.88x = 130,278,450,598.63
  5. Step 5: Solve for x
    x = 130,278,450,598.63/174,949.88
  6. Step 6: Final answer
    x = 744,661.58

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.