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Finding the Third Proportional to 245,873 and 371,064

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Solution

The third proportional to 245,873 and 371,064 is: 559,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,873 : 371,064 = 371,064 : x
  2. Step 2: Convert to fraction form
    245,873/371,064 = 371,064/x
  3. Step 3: Cross multiply
    245,873x = 371,064 × 371,064
  4. Step 4: Simplify right side
    245,873x = 137,688,492,096
  5. Step 5: Solve for x
    x = 137,688,492,096/245,873
  6. Step 6: Final answer
    x = 559,998.42

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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.