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Finding the Third Proportional to 88,271.50 and 194,358

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Solution

The third proportional to 88,271.50 and 194,358 is: 427,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,271.50 : 194,358 = 194,358 : x
  2. Step 2: Convert to fraction form
    88,271.50/194,358 = 194,358/x
  3. Step 3: Cross multiply
    88,271.50x = 194,358 × 194,358
  4. Step 4: Simplify right side
    88,271.50x = 37,775,032,164
  5. Step 5: Solve for x
    x = 37,775,032,164/88,271.50
  6. Step 6: Final answer
    x = 427,941.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.