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Finding the Third Proportional to 147,956.63 and 323,524.13

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Solution

The third proportional to 147,956.63 and 323,524.13 is: 707,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,956.63 : 323,524.13 = 323,524.13 : x
  2. Step 2: Convert to fraction form
    147,956.63/323,524.13 = 323,524.13/x
  3. Step 3: Cross multiply
    147,956.63x = 323,524.13 × 323,524.13
  4. Step 4: Simplify right side
    147,956.63x = 104,667,859,457.02
  5. Step 5: Solve for x
    x = 104,667,859,457.02/147,956.63
  6. Step 6: Final answer
    x = 707,422.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.