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Finding the Third Proportional to 192,038.63 and 290,710.69

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Solution

The third proportional to 192,038.63 and 290,710.69 is: 440,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,038.63 : 290,710.69 = 290,710.69 : x
  2. Step 2: Convert to fraction form
    192,038.63/290,710.69 = 290,710.69/x
  3. Step 3: Cross multiply
    192,038.63x = 290,710.69 × 290,710.69
  4. Step 4: Simplify right side
    192,038.63x = 84,512,703,826.72
  5. Step 5: Solve for x
    x = 84,512,703,826.72/192,038.63
  6. Step 6: Final answer
    x = 440,081.80

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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.