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Finding the Third Proportional to 190,128 and 265,826

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Solution

The third proportional to 190,128 and 265,826 is: 371,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,128 : 265,826 = 265,826 : x
  2. Step 2: Convert to fraction form
    190,128/265,826 = 265,826/x
  3. Step 3: Cross multiply
    190,128x = 265,826 × 265,826
  4. Step 4: Simplify right side
    190,128x = 70,663,462,276
  5. Step 5: Solve for x
    x = 70,663,462,276/190,128
  6. Step 6: Final answer
    x = 371,662.58

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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.