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Finding the Third Proportional to 175,030 and 383,951

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Solution

The third proportional to 175,030 and 383,951 is: 842,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,030 : 383,951 = 383,951 : x
  2. Step 2: Convert to fraction form
    175,030/383,951 = 383,951/x
  3. Step 3: Cross multiply
    175,030x = 383,951 × 383,951
  4. Step 4: Simplify right side
    175,030x = 147,418,370,401
  5. Step 5: Solve for x
    x = 147,418,370,401/175,030
  6. Step 6: Final answer
    x = 842,246.30

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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.