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Finding the Third Proportional to 190,105.88 and 265,780.13

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Solution

The third proportional to 190,105.88 and 265,780.13 is: 371,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,105.88 : 265,780.13 = 265,780.13 : x
  2. Step 2: Convert to fraction form
    190,105.88/265,780.13 = 265,780.13/x
  3. Step 3: Cross multiply
    190,105.88x = 265,780.13 × 265,780.13
  4. Step 4: Simplify right side
    190,105.88x = 70,639,074,845.02
  5. Step 5: Solve for x
    x = 70,639,074,845.02/190,105.88
  6. Step 6: Final answer
    x = 371,577.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.