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Finding the Third Proportional to 180,573.19 and 391,239.28

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Solution

The third proportional to 180,573.19 and 391,239.28 is: 847,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,573.19 : 391,239.28 = 391,239.28 : x
  2. Step 2: Convert to fraction form
    180,573.19/391,239.28 = 391,239.28/x
  3. Step 3: Cross multiply
    180,573.19x = 391,239.28 × 391,239.28
  4. Step 4: Simplify right side
    180,573.19x = 153,068,175,193.02
  5. Step 5: Solve for x
    x = 153,068,175,193.02/180,573.19
  6. Step 6: Final answer
    x = 847,679.42

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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.