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Finding the Third Proportional to 201,620 and 304,050

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Solution

The third proportional to 201,620 and 304,050 is: 458,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,620 : 304,050 = 304,050 : x
  2. Step 2: Convert to fraction form
    201,620/304,050 = 304,050/x
  3. Step 3: Cross multiply
    201,620x = 304,050 × 304,050
  4. Step 4: Simplify right side
    201,620x = 92,446,402,500
  5. Step 5: Solve for x
    x = 92,446,402,500/201,620
  6. Step 6: Final answer
    x = 458,518.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.