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Finding the Third Proportional to 245,858 and 371,048

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Solution

The third proportional to 245,858 and 371,048 is: 559,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,858 : 371,048 = 371,048 : x
  2. Step 2: Convert to fraction form
    245,858/371,048 = 371,048/x
  3. Step 3: Cross multiply
    245,858x = 371,048 × 371,048
  4. Step 4: Simplify right side
    245,858x = 137,676,618,304
  5. Step 5: Solve for x
    x = 137,676,618,304/245,858
  6. Step 6: Final answer
    x = 559,984.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.