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Finding the Third Proportional to 103,709 and 224,024

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Solution

The third proportional to 103,709 and 224,024 is: 483,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709 : 224,024 = 224,024 : x
  2. Step 2: Convert to fraction form
    103,709/224,024 = 224,024/x
  3. Step 3: Cross multiply
    103,709x = 224,024 × 224,024
  4. Step 4: Simplify right side
    103,709x = 50,186,752,576
  5. Step 5: Solve for x
    x = 50,186,752,576/103,709
  6. Step 6: Final answer
    x = 483,918.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.