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Finding the Third Proportional to 174,966.75 and 383,968.69

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Solution

The third proportional to 174,966.75 and 383,968.69 is: 842,628.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966.75 : 383,968.69 = 383,968.69 : x
  2. Step 2: Convert to fraction form
    174,966.75/383,968.69 = 383,968.69/x
  3. Step 3: Cross multiply
    174,966.75x = 383,968.69 × 383,968.69
  4. Step 4: Simplify right side
    174,966.75x = 147,431,952,980.47
  5. Step 5: Solve for x
    x = 147,431,952,980.47/174,966.75
  6. Step 6: Final answer
    x = 842,628.40

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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.