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Finding the Third Proportional to 134,290 and 197,723

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Solution

The third proportional to 134,290 and 197,723 is: 291,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,290 : 197,723 = 197,723 : x
  2. Step 2: Convert to fraction form
    134,290/197,723 = 197,723/x
  3. Step 3: Cross multiply
    134,290x = 197,723 × 197,723
  4. Step 4: Simplify right side
    134,290x = 39,094,384,729
  5. Step 5: Solve for x
    x = 39,094,384,729/134,290
  6. Step 6: Final answer
    x = 291,119.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.