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Finding the Third Proportional to 160,032 and 350,196

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Solution

The third proportional to 160,032 and 350,196 is: 766,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032 : 350,196 = 350,196 : x
  2. Step 2: Convert to fraction form
    160,032/350,196 = 350,196/x
  3. Step 3: Cross multiply
    160,032x = 350,196 × 350,196
  4. Step 4: Simplify right side
    160,032x = 122,637,238,416
  5. Step 5: Solve for x
    x = 122,637,238,416/160,032
  6. Step 6: Final answer
    x = 766,329.47

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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.