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Finding the Third Proportional to 111,689 and 243,459.50

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Solution

The third proportional to 111,689 and 243,459.50 is: 530,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,689 : 243,459.50 = 243,459.50 : x
  2. Step 2: Convert to fraction form
    111,689/243,459.50 = 243,459.50/x
  3. Step 3: Cross multiply
    111,689x = 243,459.50 × 243,459.50
  4. Step 4: Simplify right side
    111,689x = 59,272,528,140.25
  5. Step 5: Solve for x
    x = 59,272,528,140.25/111,689
  6. Step 6: Final answer
    x = 530,692.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.