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Finding the Third Proportional to 239,620 and 371,106

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Solution

The third proportional to 239,620 and 371,106 is: 574,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,620 : 371,106 = 371,106 : x
  2. Step 2: Convert to fraction form
    239,620/371,106 = 371,106/x
  3. Step 3: Cross multiply
    239,620x = 371,106 × 371,106
  4. Step 4: Simplify right side
    239,620x = 137,719,663,236
  5. Step 5: Solve for x
    x = 137,719,663,236/239,620
  6. Step 6: Final answer
    x = 574,741.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.