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Finding the Third Proportional to 202,567.50 and 436,533.75

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Solution

The third proportional to 202,567.50 and 436,533.75 is: 940,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,567.50 : 436,533.75 = 436,533.75 : x
  2. Step 2: Convert to fraction form
    202,567.50/436,533.75 = 436,533.75/x
  3. Step 3: Cross multiply
    202,567.50x = 436,533.75 × 436,533.75
  4. Step 4: Simplify right side
    202,567.50x = 190,561,714,889.06
  5. Step 5: Solve for x
    x = 190,561,714,889.06/202,567.50
  6. Step 6: Final answer
    x = 940,731.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.