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Finding the Third Proportional to 233,955 and 362,103.75

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Solution

The third proportional to 233,955 and 362,103.75 is: 560,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,955 : 362,103.75 = 362,103.75 : x
  2. Step 2: Convert to fraction form
    233,955/362,103.75 = 362,103.75/x
  3. Step 3: Cross multiply
    233,955x = 362,103.75 × 362,103.75
  4. Step 4: Simplify right side
    233,955x = 131,119,125,764.06
  5. Step 5: Solve for x
    x = 131,119,125,764.06/233,955
  6. Step 6: Final answer
    x = 560,445.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.