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Finding the Third Proportional to 245,862 and 371,054

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Solution

The third proportional to 245,862 and 371,054 is: 559,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,862 : 371,054 = 371,054 : x
  2. Step 2: Convert to fraction form
    245,862/371,054 = 371,054/x
  3. Step 3: Cross multiply
    245,862x = 371,054 × 371,054
  4. Step 4: Simplify right side
    245,862x = 137,681,070,916
  5. Step 5: Solve for x
    x = 137,681,070,916/245,862
  6. Step 6: Final answer
    x = 559,993.29

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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.