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Finding the Third Proportional to 174,205.69 and 254,585.53

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Solution

The third proportional to 174,205.69 and 254,585.53 is: 372,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,205.69 : 254,585.53 = 254,585.53 : x
  2. Step 2: Convert to fraction form
    174,205.69/254,585.53 = 254,585.53/x
  3. Step 3: Cross multiply
    174,205.69x = 254,585.53 × 254,585.53
  4. Step 4: Simplify right side
    174,205.69x = 64,813,792,721.84
  5. Step 5: Solve for x
    x = 64,813,792,721.84/174,205.69
  6. Step 6: Final answer
    x = 372,053.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.