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Finding the Third Proportional to 245,972 and 376,094

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Solution

The third proportional to 245,972 and 376,094 is: 575,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,972 : 376,094 = 376,094 : x
  2. Step 2: Convert to fraction form
    245,972/376,094 = 376,094/x
  3. Step 3: Cross multiply
    245,972x = 376,094 × 376,094
  4. Step 4: Simplify right side
    245,972x = 141,446,696,836
  5. Step 5: Solve for x
    x = 141,446,696,836/245,972
  6. Step 6: Final answer
    x = 575,052.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.