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Finding the Third Proportional to 145,416 and 195,408

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Solution

The third proportional to 145,416 and 195,408 is: 262,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416 : 195,408 = 195,408 : x
  2. Step 2: Convert to fraction form
    145,416/195,408 = 195,408/x
  3. Step 3: Cross multiply
    145,416x = 195,408 × 195,408
  4. Step 4: Simplify right side
    145,416x = 38,184,286,464
  5. Step 5: Solve for x
    x = 38,184,286,464/145,416
  6. Step 6: Final answer
    x = 262,586.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.