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Finding the Third Proportional to 163,311.50 and 349,951

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Solution

The third proportional to 163,311.50 and 349,951 is: 749,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,311.50 : 349,951 = 349,951 : x
  2. Step 2: Convert to fraction form
    163,311.50/349,951 = 349,951/x
  3. Step 3: Cross multiply
    163,311.50x = 349,951 × 349,951
  4. Step 4: Simplify right side
    163,311.50x = 122,465,702,401
  5. Step 5: Solve for x
    x = 122,465,702,401/163,311.50
  6. Step 6: Final answer
    x = 749,890.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.