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Finding the Third Proportional to 171,994 and 265,659

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Solution

The third proportional to 171,994 and 265,659 is: 410,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,994 : 265,659 = 265,659 : x
  2. Step 2: Convert to fraction form
    171,994/265,659 = 265,659/x
  3. Step 3: Cross multiply
    171,994x = 265,659 × 265,659
  4. Step 4: Simplify right side
    171,994x = 70,574,704,281
  5. Step 5: Solve for x
    x = 70,574,704,281/171,994
  6. Step 6: Final answer
    x = 410,332.36

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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.