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Finding the Third Proportional to 162,338.50 and 221,151.50

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Solution

The third proportional to 162,338.50 and 221,151.50 is: 301,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,338.50 : 221,151.50 = 221,151.50 : x
  2. Step 2: Convert to fraction form
    162,338.50/221,151.50 = 221,151.50/x
  3. Step 3: Cross multiply
    162,338.50x = 221,151.50 × 221,151.50
  4. Step 4: Simplify right side
    162,338.50x = 48,907,985,952.25
  5. Step 5: Solve for x
    x = 48,907,985,952.25/162,338.50
  6. Step 6: Final answer
    x = 301,271.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.