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Finding the Third Proportional to 174,213.50 and 369,360

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Solution

The third proportional to 174,213.50 and 369,360 is: 783,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,213.50 : 369,360 = 369,360 : x
  2. Step 2: Convert to fraction form
    174,213.50/369,360 = 369,360/x
  3. Step 3: Cross multiply
    174,213.50x = 369,360 × 369,360
  4. Step 4: Simplify right side
    174,213.50x = 136,426,809,600
  5. Step 5: Solve for x
    x = 136,426,809,600/174,213.50
  6. Step 6: Final answer
    x = 783,101.25

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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.