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Finding the Third Proportional to 146,938.50 and 306,594

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Solution

The third proportional to 146,938.50 and 306,594 is: 639,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,938.50 : 306,594 = 306,594 : x
  2. Step 2: Convert to fraction form
    146,938.50/306,594 = 306,594/x
  3. Step 3: Cross multiply
    146,938.50x = 306,594 × 306,594
  4. Step 4: Simplify right side
    146,938.50x = 93,999,880,836
  5. Step 5: Solve for x
    x = 93,999,880,836/146,938.50
  6. Step 6: Final answer
    x = 639,722.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.