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Finding the Third Proportional to 153,804.66 and 240,787.27

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Solution

The third proportional to 153,804.66 and 240,787.27 is: 376,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,804.66 : 240,787.27 = 240,787.27 : x
  2. Step 2: Convert to fraction form
    153,804.66/240,787.27 = 240,787.27/x
  3. Step 3: Cross multiply
    153,804.66x = 240,787.27 × 240,787.27
  4. Step 4: Simplify right side
    153,804.66x = 57,978,507,287.16
  5. Step 5: Solve for x
    x = 57,978,507,287.16/153,804.66
  6. Step 6: Final answer
    x = 376,961.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.