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Finding the Third Proportional to 179,748 and 281,948

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Solution

The third proportional to 179,748 and 281,948 is: 442,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,748 : 281,948 = 281,948 : x
  2. Step 2: Convert to fraction form
    179,748/281,948 = 281,948/x
  3. Step 3: Cross multiply
    179,748x = 281,948 × 281,948
  4. Step 4: Simplify right side
    179,748x = 79,494,674,704
  5. Step 5: Solve for x
    x = 79,494,674,704/179,748
  6. Step 6: Final answer
    x = 442,256.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.