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Finding the Third Proportional to 241,921.50 and 373,965

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Solution

The third proportional to 241,921.50 and 373,965 is: 578,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,921.50 : 373,965 = 373,965 : x
  2. Step 2: Convert to fraction form
    241,921.50/373,965 = 373,965/x
  3. Step 3: Cross multiply
    241,921.50x = 373,965 × 373,965
  4. Step 4: Simplify right side
    241,921.50x = 139,849,821,225
  5. Step 5: Solve for x
    x = 139,849,821,225/241,921.50
  6. Step 6: Final answer
    x = 578,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.