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Finding the Third Proportional to 235,102 and 554,895.50

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Solution

The third proportional to 235,102 and 554,895.50 is: 1,309,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,102 : 554,895.50 = 554,895.50 : x
  2. Step 2: Convert to fraction form
    235,102/554,895.50 = 554,895.50/x
  3. Step 3: Cross multiply
    235,102x = 554,895.50 × 554,895.50
  4. Step 4: Simplify right side
    235,102x = 307,909,015,920.25
  5. Step 5: Solve for x
    x = 307,909,015,920.25/235,102
  6. Step 6: Final answer
    x = 1,309,682.67

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.