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Finding the Third Proportional to 184,315.50 and 275,319

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Solution

The third proportional to 184,315.50 and 275,319 is: 411,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,315.50 : 275,319 = 275,319 : x
  2. Step 2: Convert to fraction form
    184,315.50/275,319 = 275,319/x
  3. Step 3: Cross multiply
    184,315.50x = 275,319 × 275,319
  4. Step 4: Simplify right side
    184,315.50x = 75,800,551,761
  5. Step 5: Solve for x
    x = 75,800,551,761/184,315.50
  6. Step 6: Final answer
    x = 411,254.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.