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Finding the Third Proportional to 155,148 and 337,944

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Solution

The third proportional to 155,148 and 337,944 is: 736,110.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,148 : 337,944 = 337,944 : x
  2. Step 2: Convert to fraction form
    155,148/337,944 = 337,944/x
  3. Step 3: Cross multiply
    155,148x = 337,944 × 337,944
  4. Step 4: Simplify right side
    155,148x = 114,206,147,136
  5. Step 5: Solve for x
    x = 114,206,147,136/155,148
  6. Step 6: Final answer
    x = 736,110.99

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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.