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Finding the Third Proportional to 241,909.50 and 384,315

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Solution

The third proportional to 241,909.50 and 384,315 is: 610,550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,909.50 : 384,315 = 384,315 : x
  2. Step 2: Convert to fraction form
    241,909.50/384,315 = 384,315/x
  3. Step 3: Cross multiply
    241,909.50x = 384,315 × 384,315
  4. Step 4: Simplify right side
    241,909.50x = 147,698,019,225
  5. Step 5: Solve for x
    x = 147,698,019,225/241,909.50
  6. Step 6: Final answer
    x = 610,550.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.