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Finding the Third Proportional to 193,294 and 272,202

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Solution

The third proportional to 193,294 and 272,202 is: 383,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,294 : 272,202 = 272,202 : x
  2. Step 2: Convert to fraction form
    193,294/272,202 = 272,202/x
  3. Step 3: Cross multiply
    193,294x = 272,202 × 272,202
  4. Step 4: Simplify right side
    193,294x = 74,093,928,804
  5. Step 5: Solve for x
    x = 74,093,928,804/193,294
  6. Step 6: Final answer
    x = 383,322.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.