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Finding the Third Proportional to 132,429 and 201,703.50

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Solution

The third proportional to 132,429 and 201,703.50 is: 307,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429 : 201,703.50 = 201,703.50 : x
  2. Step 2: Convert to fraction form
    132,429/201,703.50 = 201,703.50/x
  3. Step 3: Cross multiply
    132,429x = 201,703.50 × 201,703.50
  4. Step 4: Simplify right side
    132,429x = 40,684,301,912.25
  5. Step 5: Solve for x
    x = 40,684,301,912.25/132,429
  6. Step 6: Final answer
    x = 307,215.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.