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Finding the Third Proportional to 174,937 and 383,498

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Solution

The third proportional to 174,937 and 383,498 is: 840,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,937 : 383,498 = 383,498 : x
  2. Step 2: Convert to fraction form
    174,937/383,498 = 383,498/x
  3. Step 3: Cross multiply
    174,937x = 383,498 × 383,498
  4. Step 4: Simplify right side
    174,937x = 147,070,716,004
  5. Step 5: Solve for x
    x = 147,070,716,004/174,937
  6. Step 6: Final answer
    x = 840,706.75

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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.