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Finding the Third Proportional to 107,430 and 223,681

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Solution

The third proportional to 107,430 and 223,681 is: 465,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,430 : 223,681 = 223,681 : x
  2. Step 2: Convert to fraction form
    107,430/223,681 = 223,681/x
  3. Step 3: Cross multiply
    107,430x = 223,681 × 223,681
  4. Step 4: Simplify right side
    107,430x = 50,033,189,761
  5. Step 5: Solve for x
    x = 50,033,189,761/107,430
  6. Step 6: Final answer
    x = 465,728.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.