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Finding the Third Proportional to 187,814.25 and 290,835

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Solution

The third proportional to 187,814.25 and 290,835 is: 450,365.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,814.25 : 290,835 = 290,835 : x
  2. Step 2: Convert to fraction form
    187,814.25/290,835 = 290,835/x
  3. Step 3: Cross multiply
    187,814.25x = 290,835 × 290,835
  4. Step 4: Simplify right side
    187,814.25x = 84,584,997,225
  5. Step 5: Solve for x
    x = 84,584,997,225/187,814.25
  6. Step 6: Final answer
    x = 450,365.17

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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.