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Finding the Third Proportional to 174,211.50 and 369,356.50

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Solution

The third proportional to 174,211.50 and 369,356.50 is: 783,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,211.50 : 369,356.50 = 369,356.50 : x
  2. Step 2: Convert to fraction form
    174,211.50/369,356.50 = 369,356.50/x
  3. Step 3: Cross multiply
    174,211.50x = 369,356.50 × 369,356.50
  4. Step 4: Simplify right side
    174,211.50x = 136,424,224,092.25
  5. Step 5: Solve for x
    x = 136,424,224,092.25/174,211.50
  6. Step 6: Final answer
    x = 783,095.40

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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.