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Finding the Third Proportional to 192,038.50 and 290,710.50

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Solution

The third proportional to 192,038.50 and 290,710.50 is: 440,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,038.50 : 290,710.50 = 290,710.50 : x
  2. Step 2: Convert to fraction form
    192,038.50/290,710.50 = 290,710.50/x
  3. Step 3: Cross multiply
    192,038.50x = 290,710.50 × 290,710.50
  4. Step 4: Simplify right side
    192,038.50x = 84,512,594,810.25
  5. Step 5: Solve for x
    x = 84,512,594,810.25/192,038.50
  6. Step 6: Final answer
    x = 440,081.52

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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.