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Finding the Third Proportional to 170,025 and 397,117.50

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Solution

The third proportional to 170,025 and 397,117.50 is: 927,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,025 : 397,117.50 = 397,117.50 : x
  2. Step 2: Convert to fraction form
    170,025/397,117.50 = 397,117.50/x
  3. Step 3: Cross multiply
    170,025x = 397,117.50 × 397,117.50
  4. Step 4: Simplify right side
    170,025x = 157,702,308,806.25
  5. Step 5: Solve for x
    x = 157,702,308,806.25/170,025
  6. Step 6: Final answer
    x = 927,524.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.