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Finding the Third Proportional to 174,008.25 and 370,777.50

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Solution

The third proportional to 174,008.25 and 370,777.50 is: 790,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,008.25 : 370,777.50 = 370,777.50 : x
  2. Step 2: Convert to fraction form
    174,008.25/370,777.50 = 370,777.50/x
  3. Step 3: Cross multiply
    174,008.25x = 370,777.50 × 370,777.50
  4. Step 4: Simplify right side
    174,008.25x = 137,475,954,506.25
  5. Step 5: Solve for x
    x = 137,475,954,506.25/174,008.25
  6. Step 6: Final answer
    x = 790,054.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.