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Finding the Third Proportional to 136,469 and 296,248

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Solution

The third proportional to 136,469 and 296,248 is: 643,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,469 : 296,248 = 296,248 : x
  2. Step 2: Convert to fraction form
    136,469/296,248 = 296,248/x
  3. Step 3: Cross multiply
    136,469x = 296,248 × 296,248
  4. Step 4: Simplify right side
    136,469x = 87,762,877,504
  5. Step 5: Solve for x
    x = 87,762,877,504/136,469
  6. Step 6: Final answer
    x = 643,097.54

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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.