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Finding the Third Proportional to 239,206 and 370,385.50

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Solution

The third proportional to 239,206 and 370,385.50 is: 573,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,206 : 370,385.50 = 370,385.50 : x
  2. Step 2: Convert to fraction form
    239,206/370,385.50 = 370,385.50/x
  3. Step 3: Cross multiply
    239,206x = 370,385.50 × 370,385.50
  4. Step 4: Simplify right side
    239,206x = 137,185,418,610.25
  5. Step 5: Solve for x
    x = 137,185,418,610.25/239,206
  6. Step 6: Final answer
    x = 573,503.25

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