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Finding the Third Proportional to 172,157 and 364,773

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Solution

The third proportional to 172,157 and 364,773 is: 772,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,157 : 364,773 = 364,773 : x
  2. Step 2: Convert to fraction form
    172,157/364,773 = 364,773/x
  3. Step 3: Cross multiply
    172,157x = 364,773 × 364,773
  4. Step 4: Simplify right side
    172,157x = 133,059,341,529
  5. Step 5: Solve for x
    x = 133,059,341,529/172,157
  6. Step 6: Final answer
    x = 772,895.33

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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.