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Finding the Third Proportional to 162,706.50 and 250,255.13

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Solution

The third proportional to 162,706.50 and 250,255.13 is: 384,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,706.50 : 250,255.13 = 250,255.13 : x
  2. Step 2: Convert to fraction form
    162,706.50/250,255.13 = 250,255.13/x
  3. Step 3: Cross multiply
    162,706.50x = 250,255.13 × 250,255.13
  4. Step 4: Simplify right side
    162,706.50x = 62,627,627,588.77
  5. Step 5: Solve for x
    x = 62,627,627,588.77/162,706.50
  6. Step 6: Final answer
    x = 384,911.65

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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.