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Finding the Third Proportional to 192,010 and 296,035

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Solution

The third proportional to 192,010 and 296,035 is: 456,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,010 : 296,035 = 296,035 : x
  2. Step 2: Convert to fraction form
    192,010/296,035 = 296,035/x
  3. Step 3: Cross multiply
    192,010x = 296,035 × 296,035
  4. Step 4: Simplify right side
    192,010x = 87,636,721,225
  5. Step 5: Solve for x
    x = 87,636,721,225/192,010
  6. Step 6: Final answer
    x = 456,417.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.