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Finding the Third Proportional to 170,259 and 397,663.50

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Solution

The third proportional to 170,259 and 397,663.50 is: 928,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,259 : 397,663.50 = 397,663.50 : x
  2. Step 2: Convert to fraction form
    170,259/397,663.50 = 397,663.50/x
  3. Step 3: Cross multiply
    170,259x = 397,663.50 × 397,663.50
  4. Step 4: Simplify right side
    170,259x = 158,136,259,232.25
  5. Step 5: Solve for x
    x = 158,136,259,232.25/170,259
  6. Step 6: Final answer
    x = 928,798.24

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