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Finding the Third Proportional to 121,810.50 and 293,452.88

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Solution

The third proportional to 121,810.50 and 293,452.88 is: 706,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,810.50 : 293,452.88 = 293,452.88 : x
  2. Step 2: Convert to fraction form
    121,810.50/293,452.88 = 293,452.88/x
  3. Step 3: Cross multiply
    121,810.50x = 293,452.88 × 293,452.88
  4. Step 4: Simplify right side
    121,810.50x = 86,114,589,845.77
  5. Step 5: Solve for x
    x = 86,114,589,845.77/121,810.50
  6. Step 6: Final answer
    x = 706,955.39

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.