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Finding the Third Proportional to 147,185.44 and 233,445.38

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Solution

The third proportional to 147,185.44 and 233,445.38 is: 370,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,185.44 : 233,445.38 = 233,445.38 : x
  2. Step 2: Convert to fraction form
    147,185.44/233,445.38 = 233,445.38/x
  3. Step 3: Cross multiply
    147,185.44x = 233,445.38 × 233,445.38
  4. Step 4: Simplify right side
    147,185.44x = 54,496,743,108.89
  5. Step 5: Solve for x
    x = 54,496,743,108.89/147,185.44
  6. Step 6: Final answer
    x = 370,259.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.