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Finding the Third Proportional to 174,940 and 383,504

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Solution

The third proportional to 174,940 and 383,504 is: 840,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,940 : 383,504 = 383,504 : x
  2. Step 2: Convert to fraction form
    174,940/383,504 = 383,504/x
  3. Step 3: Cross multiply
    174,940x = 383,504 × 383,504
  4. Step 4: Simplify right side
    174,940x = 147,075,318,016
  5. Step 5: Solve for x
    x = 147,075,318,016/174,940
  6. Step 6: Final answer
    x = 840,718.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.