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Finding the Third Proportional to 141,928 and 197,340

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Solution

The third proportional to 141,928 and 197,340 is: 274,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,928 : 197,340 = 197,340 : x
  2. Step 2: Convert to fraction form
    141,928/197,340 = 197,340/x
  3. Step 3: Cross multiply
    141,928x = 197,340 × 197,340
  4. Step 4: Simplify right side
    141,928x = 38,943,075,600
  5. Step 5: Solve for x
    x = 38,943,075,600/141,928
  6. Step 6: Final answer
    x = 274,386.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.