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Finding the Third Proportional to 190,090.50 and 265,759.50

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Solution

The third proportional to 190,090.50 and 265,759.50 is: 371,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,090.50 : 265,759.50 = 265,759.50 : x
  2. Step 2: Convert to fraction form
    190,090.50/265,759.50 = 265,759.50/x
  3. Step 3: Cross multiply
    190,090.50x = 265,759.50 × 265,759.50
  4. Step 4: Simplify right side
    190,090.50x = 70,628,111,840.25
  5. Step 5: Solve for x
    x = 70,628,111,840.25/190,090.50
  6. Step 6: Final answer
    x = 371,549.93

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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.