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Finding the Third Proportional to 236,037.50 and 505,205

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Solution

The third proportional to 236,037.50 and 505,205 is: 1,081,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,037.50 : 505,205 = 505,205 : x
  2. Step 2: Convert to fraction form
    236,037.50/505,205 = 505,205/x
  3. Step 3: Cross multiply
    236,037.50x = 505,205 × 505,205
  4. Step 4: Simplify right side
    236,037.50x = 255,232,092,025
  5. Step 5: Solve for x
    x = 255,232,092,025/236,037.50
  6. Step 6: Final answer
    x = 1,081,320.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.