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Finding the Third Proportional to 190,120 and 265,804

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Solution

The third proportional to 190,120 and 265,804 is: 371,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,120 : 265,804 = 265,804 : x
  2. Step 2: Convert to fraction form
    190,120/265,804 = 265,804/x
  3. Step 3: Cross multiply
    190,120x = 265,804 × 265,804
  4. Step 4: Simplify right side
    190,120x = 70,651,766,416
  5. Step 5: Solve for x
    x = 70,651,766,416/190,120
  6. Step 6: Final answer
    x = 371,616.70

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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.