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Finding the Third Proportional to 174,361.36 and 369,646.88

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Solution

The third proportional to 174,361.36 and 369,646.88 is: 783,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,361.36 : 369,646.88 = 369,646.88 : x
  2. Step 2: Convert to fraction form
    174,361.36/369,646.88 = 369,646.88/x
  3. Step 3: Cross multiply
    174,361.36x = 369,646.88 × 369,646.88
  4. Step 4: Simplify right side
    174,361.36x = 136,638,812,197.27
  5. Step 5: Solve for x
    x = 136,638,812,197.27/174,361.36
  6. Step 6: Final answer
    x = 783,653.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.