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Finding the Third Proportional to 145,146 and 219,909

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Solution

The third proportional to 145,146 and 219,909 is: 333,181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,146 : 219,909 = 219,909 : x
  2. Step 2: Convert to fraction form
    145,146/219,909 = 219,909/x
  3. Step 3: Cross multiply
    145,146x = 219,909 × 219,909
  4. Step 4: Simplify right side
    145,146x = 48,359,968,281
  5. Step 5: Solve for x
    x = 48,359,968,281/145,146
  6. Step 6: Final answer
    x = 333,181.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.