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Finding the Third Proportional to 201,126.75 and 298,210.88

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Solution

The third proportional to 201,126.75 and 298,210.88 is: 442,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,126.75 : 298,210.88 = 298,210.88 : x
  2. Step 2: Convert to fraction form
    201,126.75/298,210.88 = 298,210.88/x
  3. Step 3: Cross multiply
    201,126.75x = 298,210.88 × 298,210.88
  4. Step 4: Simplify right side
    201,126.75x = 88,929,725,968.27
  5. Step 5: Solve for x
    x = 88,929,725,968.27/201,126.75
  6. Step 6: Final answer
    x = 442,157.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.