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Finding the Third Proportional to 174,639 and 265,503

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Solution

The third proportional to 174,639 and 265,503 is: 403,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,639 : 265,503 = 265,503 : x
  2. Step 2: Convert to fraction form
    174,639/265,503 = 265,503/x
  3. Step 3: Cross multiply
    174,639x = 265,503 × 265,503
  4. Step 4: Simplify right side
    174,639x = 70,491,843,009
  5. Step 5: Solve for x
    x = 70,491,843,009/174,639
  6. Step 6: Final answer
    x = 403,643.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.