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Finding the Third Proportional to 154,284 and 312,862

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Solution

The third proportional to 154,284 and 312,862 is: 634,431.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,284 : 312,862 = 312,862 : x
  2. Step 2: Convert to fraction form
    154,284/312,862 = 312,862/x
  3. Step 3: Cross multiply
    154,284x = 312,862 × 312,862
  4. Step 4: Simplify right side
    154,284x = 97,882,631,044
  5. Step 5: Solve for x
    x = 97,882,631,044/154,284
  6. Step 6: Final answer
    x = 634,431.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.