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Finding the Third Proportional to 243,000 and 529,861.50

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Solution

The third proportional to 243,000 and 529,861.50 is: 1,155,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000 : 529,861.50 = 529,861.50 : x
  2. Step 2: Convert to fraction form
    243,000/529,861.50 = 529,861.50/x
  3. Step 3: Cross multiply
    243,000x = 529,861.50 × 529,861.50
  4. Step 4: Simplify right side
    243,000x = 280,753,209,182.25
  5. Step 5: Solve for x
    x = 280,753,209,182.25/243,000
  6. Step 6: Final answer
    x = 1,155,363.00

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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.