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Finding the Third Proportional to 277,191 and 418,285.50

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Solution

The third proportional to 277,191 and 418,285.50 is: 631,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,191 : 418,285.50 = 418,285.50 : x
  2. Step 2: Convert to fraction form
    277,191/418,285.50 = 418,285.50/x
  3. Step 3: Cross multiply
    277,191x = 418,285.50 × 418,285.50
  4. Step 4: Simplify right side
    277,191x = 174,962,759,510.25
  5. Step 5: Solve for x
    x = 174,962,759,510.25/277,191
  6. Step 6: Final answer
    x = 631,199.28

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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.