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Finding the Third Proportional to 190,081.38 and 265,746.13

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Solution

The third proportional to 190,081.38 and 265,746.13 is: 371,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,081.38 : 265,746.13 = 265,746.13 : x
  2. Step 2: Convert to fraction form
    190,081.38/265,746.13 = 265,746.13/x
  3. Step 3: Cross multiply
    190,081.38x = 265,746.13 × 265,746.13
  4. Step 4: Simplify right side
    190,081.38x = 70,621,002,952.52
  5. Step 5: Solve for x
    x = 70,621,002,952.52/190,081.38
  6. Step 6: Final answer
    x = 371,530.37

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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.