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Finding the Third Proportional to 180,274.50 and 293,001.75

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Solution

The third proportional to 180,274.50 and 293,001.75 is: 476,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,274.50 : 293,001.75 = 293,001.75 : x
  2. Step 2: Convert to fraction form
    180,274.50/293,001.75 = 293,001.75/x
  3. Step 3: Cross multiply
    180,274.50x = 293,001.75 × 293,001.75
  4. Step 4: Simplify right side
    180,274.50x = 85,850,025,503.06
  5. Step 5: Solve for x
    x = 85,850,025,503.06/180,274.50
  6. Step 6: Final answer
    x = 476,218.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.