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Finding the Third Proportional to 132,430.50 and 201,705.75

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Solution

The third proportional to 132,430.50 and 201,705.75 is: 307,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,430.50 : 201,705.75 = 201,705.75 : x
  2. Step 2: Convert to fraction form
    132,430.50/201,705.75 = 201,705.75/x
  3. Step 3: Cross multiply
    132,430.50x = 201,705.75 × 201,705.75
  4. Step 4: Simplify right side
    132,430.50x = 40,685,209,583.06
  5. Step 5: Solve for x
    x = 40,685,209,583.06/132,430.50
  6. Step 6: Final answer
    x = 307,219.33

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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.