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Finding the Third Proportional to 177,690 and 383,830.50

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Solution

The third proportional to 177,690 and 383,830.50 is: 829,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,690 : 383,830.50 = 383,830.50 : x
  2. Step 2: Convert to fraction form
    177,690/383,830.50 = 383,830.50/x
  3. Step 3: Cross multiply
    177,690x = 383,830.50 × 383,830.50
  4. Step 4: Simplify right side
    177,690x = 147,325,852,730.25
  5. Step 5: Solve for x
    x = 147,325,852,730.25/177,690
  6. Step 6: Final answer
    x = 829,117.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.