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Finding the Third Proportional to 107,318 and 233,090

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Solution

The third proportional to 107,318 and 233,090 is: 506,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,318 : 233,090 = 233,090 : x
  2. Step 2: Convert to fraction form
    107,318/233,090 = 233,090/x
  3. Step 3: Cross multiply
    107,318x = 233,090 × 233,090
  4. Step 4: Simplify right side
    107,318x = 54,330,948,100
  5. Step 5: Solve for x
    x = 54,330,948,100/107,318
  6. Step 6: Final answer
    x = 506,261.28

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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.