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Finding the Third Proportional to 184,356 and 264,598.50

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Solution

The third proportional to 184,356 and 264,598.50 is: 379,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,356 : 264,598.50 = 264,598.50 : x
  2. Step 2: Convert to fraction form
    184,356/264,598.50 = 264,598.50/x
  3. Step 3: Cross multiply
    184,356x = 264,598.50 × 264,598.50
  4. Step 4: Simplify right side
    184,356x = 70,012,366,202.25
  5. Step 5: Solve for x
    x = 70,012,366,202.25/184,356
  6. Step 6: Final answer
    x = 379,767.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.