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Finding the Third Proportional to 107,541 and 233,946

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Solution

The third proportional to 107,541 and 233,946 is: 508,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,541 : 233,946 = 233,946 : x
  2. Step 2: Convert to fraction form
    107,541/233,946 = 233,946/x
  3. Step 3: Cross multiply
    107,541x = 233,946 × 233,946
  4. Step 4: Simplify right side
    107,541x = 54,730,730,916
  5. Step 5: Solve for x
    x = 54,730,730,916/107,541
  6. Step 6: Final answer
    x = 508,928.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.