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Finding the Third Proportional to 224,169 and 485,683.50

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Solution

The third proportional to 224,169 and 485,683.50 is: 1,052,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,169 : 485,683.50 = 485,683.50 : x
  2. Step 2: Convert to fraction form
    224,169/485,683.50 = 485,683.50/x
  3. Step 3: Cross multiply
    224,169x = 485,683.50 × 485,683.50
  4. Step 4: Simplify right side
    224,169x = 235,888,462,172.25
  5. Step 5: Solve for x
    x = 235,888,462,172.25/224,169
  6. Step 6: Final answer
    x = 1,052,279.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.