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Finding the Third Proportional to 236,859.75 and 364,075.88

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Solution

The third proportional to 236,859.75 and 364,075.88 is: 559,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,859.75 : 364,075.88 = 364,075.88 : x
  2. Step 2: Convert to fraction form
    236,859.75/364,075.88 = 364,075.88/x
  3. Step 3: Cross multiply
    236,859.75x = 364,075.88 × 364,075.88
  4. Step 4: Simplify right side
    236,859.75x = 132,551,242,757.02
  5. Step 5: Solve for x
    x = 132,551,242,757.02/236,859.75
  6. Step 6: Final answer
    x = 559,619.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.