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Finding the Third Proportional to 202,326.75 and 434,178

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Solution

The third proportional to 202,326.75 and 434,178 is: 931,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,326.75 : 434,178 = 434,178 : x
  2. Step 2: Convert to fraction form
    202,326.75/434,178 = 434,178/x
  3. Step 3: Cross multiply
    202,326.75x = 434,178 × 434,178
  4. Step 4: Simplify right side
    202,326.75x = 188,510,535,684
  5. Step 5: Solve for x
    x = 188,510,535,684/202,326.75
  6. Step 6: Final answer
    x = 931,713.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.