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Finding the Third Proportional to 160,718.25 and 350,009.25

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Solution

The third proportional to 160,718.25 and 350,009.25 is: 762,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,718.25 : 350,009.25 = 350,009.25 : x
  2. Step 2: Convert to fraction form
    160,718.25/350,009.25 = 350,009.25/x
  3. Step 3: Cross multiply
    160,718.25x = 350,009.25 × 350,009.25
  4. Step 4: Simplify right side
    160,718.25x = 122,506,475,085.56
  5. Step 5: Solve for x
    x = 122,506,475,085.56/160,718.25
  6. Step 6: Final answer
    x = 762,243.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.