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Finding the Third Proportional to 236,398.50 and 353,763

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Solution

The third proportional to 236,398.50 and 353,763 is: 529,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,398.50 : 353,763 = 353,763 : x
  2. Step 2: Convert to fraction form
    236,398.50/353,763 = 353,763/x
  3. Step 3: Cross multiply
    236,398.50x = 353,763 × 353,763
  4. Step 4: Simplify right side
    236,398.50x = 125,148,260,169
  5. Step 5: Solve for x
    x = 125,148,260,169/236,398.50
  6. Step 6: Final answer
    x = 529,395.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.