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Finding the Third Proportional to 206,652.50 and 316,090.50

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Solution

The third proportional to 206,652.50 and 316,090.50 is: 483,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,652.50 : 316,090.50 = 316,090.50 : x
  2. Step 2: Convert to fraction form
    206,652.50/316,090.50 = 316,090.50/x
  3. Step 3: Cross multiply
    206,652.50x = 316,090.50 × 316,090.50
  4. Step 4: Simplify right side
    206,652.50x = 99,913,204,190.25
  5. Step 5: Solve for x
    x = 99,913,204,190.25/206,652.50
  6. Step 6: Final answer
    x = 483,484.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.