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Finding the Third Proportional to 168,052 and 260,219

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Solution

The third proportional to 168,052 and 260,219 is: 402,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,052 : 260,219 = 260,219 : x
  2. Step 2: Convert to fraction form
    168,052/260,219 = 260,219/x
  3. Step 3: Cross multiply
    168,052x = 260,219 × 260,219
  4. Step 4: Simplify right side
    168,052x = 67,713,927,961
  5. Step 5: Solve for x
    x = 67,713,927,961/168,052
  6. Step 6: Final answer
    x = 402,934.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.