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Finding the Third Proportional to 269,106.50 and 416,683.50

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Solution

The third proportional to 269,106.50 and 416,683.50 is: 645,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,106.50 : 416,683.50 = 416,683.50 : x
  2. Step 2: Convert to fraction form
    269,106.50/416,683.50 = 416,683.50/x
  3. Step 3: Cross multiply
    269,106.50x = 416,683.50 × 416,683.50
  4. Step 4: Simplify right side
    269,106.50x = 173,625,139,172.25
  5. Step 5: Solve for x
    x = 173,625,139,172.25/269,106.50
  6. Step 6: Final answer
    x = 645,191.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.