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Finding the Third Proportional to 190,074 and 265,735

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Solution

The third proportional to 190,074 and 265,735 is: 371,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,074 : 265,735 = 265,735 : x
  2. Step 2: Convert to fraction form
    190,074/265,735 = 265,735/x
  3. Step 3: Cross multiply
    190,074x = 265,735 × 265,735
  4. Step 4: Simplify right side
    190,074x = 70,615,090,225
  5. Step 5: Solve for x
    x = 70,615,090,225/190,074
  6. Step 6: Final answer
    x = 371,513.67

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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.