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Finding the Third Proportional to 159,957 and 350,046

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Solution

The third proportional to 159,957 and 350,046 is: 766,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,957 : 350,046 = 350,046 : x
  2. Step 2: Convert to fraction form
    159,957/350,046 = 350,046/x
  3. Step 3: Cross multiply
    159,957x = 350,046 × 350,046
  4. Step 4: Simplify right side
    159,957x = 122,532,202,116
  5. Step 5: Solve for x
    x = 122,532,202,116/159,957
  6. Step 6: Final answer
    x = 766,032.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.