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Finding the Third Proportional to 159,675.75 and 349,967.25

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Solution

The third proportional to 159,675.75 and 349,967.25 is: 767,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,675.75 : 349,967.25 = 349,967.25 : x
  2. Step 2: Convert to fraction form
    159,675.75/349,967.25 = 349,967.25/x
  3. Step 3: Cross multiply
    159,675.75x = 349,967.25 × 349,967.25
  4. Step 4: Simplify right side
    159,675.75x = 122,477,076,072.56
  5. Step 5: Solve for x
    x = 122,477,076,072.56/159,675.75
  6. Step 6: Final answer
    x = 767,036.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.