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Finding the Third Proportional to 237,611 and 314,078.50

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Solution

The third proportional to 237,611 and 314,078.50 is: 415,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,611 : 314,078.50 = 314,078.50 : x
  2. Step 2: Convert to fraction form
    237,611/314,078.50 = 314,078.50/x
  3. Step 3: Cross multiply
    237,611x = 314,078.50 × 314,078.50
  4. Step 4: Simplify right side
    237,611x = 98,645,304,162.25
  5. Step 5: Solve for x
    x = 98,645,304,162.25/237,611
  6. Step 6: Final answer
    x = 415,154.62

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.