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Finding the Third Proportional to 239,210 and 370,152

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Solution

The third proportional to 239,210 and 370,152 is: 572,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,210 : 370,152 = 370,152 : x
  2. Step 2: Convert to fraction form
    239,210/370,152 = 370,152/x
  3. Step 3: Cross multiply
    239,210x = 370,152 × 370,152
  4. Step 4: Simplify right side
    239,210x = 137,012,503,104
  5. Step 5: Solve for x
    x = 137,012,503,104/239,210
  6. Step 6: Final answer
    x = 572,770.80

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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.