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Finding the Third Proportional to 134,169 and 291,631.88

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Solution

The third proportional to 134,169 and 291,631.88 is: 633,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,169 : 291,631.88 = 291,631.88 : x
  2. Step 2: Convert to fraction form
    134,169/291,631.88 = 291,631.88/x
  3. Step 3: Cross multiply
    134,169x = 291,631.88 × 291,631.88
  4. Step 4: Simplify right side
    134,169x = 85,049,150,516.02
  5. Step 5: Solve for x
    x = 85,049,150,516.02/134,169
  6. Step 6: Final answer
    x = 633,895.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.