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Finding the Third Proportional to 164,318 and 253,444

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Solution

The third proportional to 164,318 and 253,444 is: 390,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,318 : 253,444 = 253,444 : x
  2. Step 2: Convert to fraction form
    164,318/253,444 = 253,444/x
  3. Step 3: Cross multiply
    164,318x = 253,444 × 253,444
  4. Step 4: Simplify right side
    164,318x = 64,233,861,136
  5. Step 5: Solve for x
    x = 64,233,861,136/164,318
  6. Step 6: Final answer
    x = 390,911.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.