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Finding the Third Proportional to 172,210.50 and 364,907.25

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Solution

The third proportional to 172,210.50 and 364,907.25 is: 773,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,210.50 : 364,907.25 = 364,907.25 : x
  2. Step 2: Convert to fraction form
    172,210.50/364,907.25 = 364,907.25/x
  3. Step 3: Cross multiply
    172,210.50x = 364,907.25 × 364,907.25
  4. Step 4: Simplify right side
    172,210.50x = 133,157,301,102.56
  5. Step 5: Solve for x
    x = 133,157,301,102.56/172,210.50
  6. Step 6: Final answer
    x = 773,224.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.