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Finding the Third Proportional to 137,803.50 and 206,706

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Solution

The third proportional to 137,803.50 and 206,706 is: 310,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,803.50 : 206,706 = 206,706 : x
  2. Step 2: Convert to fraction form
    137,803.50/206,706 = 206,706/x
  3. Step 3: Cross multiply
    137,803.50x = 206,706 × 206,706
  4. Step 4: Simplify right side
    137,803.50x = 42,727,370,436
  5. Step 5: Solve for x
    x = 42,727,370,436/137,803.50
  6. Step 6: Final answer
    x = 310,060.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.