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Finding the Third Proportional to 152,956.50 and 215,013

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Solution

The third proportional to 152,956.50 and 215,013 is: 302,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.50 : 215,013 = 215,013 : x
  2. Step 2: Convert to fraction form
    152,956.50/215,013 = 215,013/x
  3. Step 3: Cross multiply
    152,956.50x = 215,013 × 215,013
  4. Step 4: Simplify right side
    152,956.50x = 46,230,590,169
  5. Step 5: Solve for x
    x = 46,230,590,169/152,956.50
  6. Step 6: Final answer
    x = 302,246.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.