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Finding the Third Proportional to 172,026 and 265,709.63

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Solution

The third proportional to 172,026 and 265,709.63 is: 410,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,026 : 265,709.63 = 265,709.63 : x
  2. Step 2: Convert to fraction form
    172,026/265,709.63 = 265,709.63/x
  3. Step 3: Cross multiply
    172,026x = 265,709.63 × 265,709.63
  4. Step 4: Simplify right side
    172,026x = 70,601,604,817.64
  5. Step 5: Solve for x
    x = 70,601,604,817.64/172,026
  6. Step 6: Final answer
    x = 410,412.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.