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Finding the Third Proportional to 162,919.50 and 245,421

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Solution

The third proportional to 162,919.50 and 245,421 is: 369,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,919.50 : 245,421 = 245,421 : x
  2. Step 2: Convert to fraction form
    162,919.50/245,421 = 245,421/x
  3. Step 3: Cross multiply
    162,919.50x = 245,421 × 245,421
  4. Step 4: Simplify right side
    162,919.50x = 60,231,467,241
  5. Step 5: Solve for x
    x = 60,231,467,241/162,919.50
  6. Step 6: Final answer
    x = 369,700.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.