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Finding the Third Proportional to 201,687.75 and 429,871.50

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Solution

The third proportional to 201,687.75 and 429,871.50 is: 916,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,687.75 : 429,871.50 = 429,871.50 : x
  2. Step 2: Convert to fraction form
    201,687.75/429,871.50 = 429,871.50/x
  3. Step 3: Cross multiply
    201,687.75x = 429,871.50 × 429,871.50
  4. Step 4: Simplify right side
    201,687.75x = 184,789,506,512.25
  5. Step 5: Solve for x
    x = 184,789,506,512.25/201,687.75
  6. Step 6: Final answer
    x = 916,215.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.