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Finding the Third Proportional to 142,603.03 and 213,460.31

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Solution

The third proportional to 142,603.03 and 213,460.31 is: 319,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.03 : 213,460.31 = 213,460.31 : x
  2. Step 2: Convert to fraction form
    142,603.03/213,460.31 = 213,460.31/x
  3. Step 3: Cross multiply
    142,603.03x = 213,460.31 × 213,460.31
  4. Step 4: Simplify right side
    142,603.03x = 45,565,305,012.60
  5. Step 5: Solve for x
    x = 45,565,305,012.60/142,603.03
  6. Step 6: Final answer
    x = 319,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.