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Finding the Third Proportional to 134,408 and 197,724

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Solution

The third proportional to 134,408 and 197,724 is: 290,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,408 : 197,724 = 197,724 : x
  2. Step 2: Convert to fraction form
    134,408/197,724 = 197,724/x
  3. Step 3: Cross multiply
    134,408x = 197,724 × 197,724
  4. Step 4: Simplify right side
    134,408x = 39,094,780,176
  5. Step 5: Solve for x
    x = 39,094,780,176/134,408
  6. Step 6: Final answer
    x = 290,866.47

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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.