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Finding the Third Proportional to 190,551 and 278,670.25

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Solution

The third proportional to 190,551 and 278,670.25 is: 407,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,551 : 278,670.25 = 278,670.25 : x
  2. Step 2: Convert to fraction form
    190,551/278,670.25 = 278,670.25/x
  3. Step 3: Cross multiply
    190,551x = 278,670.25 × 278,670.25
  4. Step 4: Simplify right side
    190,551x = 77,657,108,235.06
  5. Step 5: Solve for x
    x = 77,657,108,235.06/190,551
  6. Step 6: Final answer
    x = 407,539.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.