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Finding the Third Proportional to 239,303 and 370,493.50

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Solution

The third proportional to 239,303 and 370,493.50 is: 573,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,303 : 370,493.50 = 370,493.50 : x
  2. Step 2: Convert to fraction form
    239,303/370,493.50 = 370,493.50/x
  3. Step 3: Cross multiply
    239,303x = 370,493.50 × 370,493.50
  4. Step 4: Simplify right side
    239,303x = 137,265,433,542.25
  5. Step 5: Solve for x
    x = 137,265,433,542.25/239,303
  6. Step 6: Final answer
    x = 573,605.15

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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.