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Finding the Third Proportional to 176,971 and 383,466.50

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Solution

The third proportional to 176,971 and 383,466.50 is: 830,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971 : 383,466.50 = 383,466.50 : x
  2. Step 2: Convert to fraction form
    176,971/383,466.50 = 383,466.50/x
  3. Step 3: Cross multiply
    176,971x = 383,466.50 × 383,466.50
  4. Step 4: Simplify right side
    176,971x = 147,046,556,622.25
  5. Step 5: Solve for x
    x = 147,046,556,622.25/176,971
  6. Step 6: Final answer
    x = 830,907.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.