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Finding the Third Proportional to 160,787 and 350,146

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Solution

The third proportional to 160,787 and 350,146 is: 762,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,787 : 350,146 = 350,146 : x
  2. Step 2: Convert to fraction form
    160,787/350,146 = 350,146/x
  3. Step 3: Cross multiply
    160,787x = 350,146 × 350,146
  4. Step 4: Simplify right side
    160,787x = 122,602,221,316
  5. Step 5: Solve for x
    x = 122,602,221,316/160,787
  6. Step 6: Final answer
    x = 762,513.27

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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.