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Finding the Third Proportional to 178,197 and 266,422.50

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Solution

The third proportional to 178,197 and 266,422.50 is: 398,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,197 : 266,422.50 = 266,422.50 : x
  2. Step 2: Convert to fraction form
    178,197/266,422.50 = 266,422.50/x
  3. Step 3: Cross multiply
    178,197x = 266,422.50 × 266,422.50
  4. Step 4: Simplify right side
    178,197x = 70,980,948,506.25
  5. Step 5: Solve for x
    x = 70,980,948,506.25/178,197
  6. Step 6: Final answer
    x = 398,328.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.