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Finding the Third Proportional to 202,885.50 and 316,611

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Solution

The third proportional to 202,885.50 and 316,611 is: 494,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,885.50 : 316,611 = 316,611 : x
  2. Step 2: Convert to fraction form
    202,885.50/316,611 = 316,611/x
  3. Step 3: Cross multiply
    202,885.50x = 316,611 × 316,611
  4. Step 4: Simplify right side
    202,885.50x = 100,242,525,321
  5. Step 5: Solve for x
    x = 100,242,525,321/202,885.50
  6. Step 6: Final answer
    x = 494,084.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.