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Finding the Third Proportional to 153,533.25 and 236,858.63

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Solution

The third proportional to 153,533.25 and 236,858.63 is: 365,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,533.25 : 236,858.63 = 236,858.63 : x
  2. Step 2: Convert to fraction form
    153,533.25/236,858.63 = 236,858.63/x
  3. Step 3: Cross multiply
    153,533.25x = 236,858.63 × 236,858.63
  4. Step 4: Simplify right side
    153,533.25x = 56,102,008,236.89
  5. Step 5: Solve for x
    x = 56,102,008,236.89/153,533.25
  6. Step 6: Final answer
    x = 365,406.24

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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.