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Finding the Third Proportional to 136,535.63 and 297,037.13

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Solution

The third proportional to 136,535.63 and 297,037.13 is: 646,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,535.63 : 297,037.13 = 297,037.13 : x
  2. Step 2: Convert to fraction form
    136,535.63/297,037.13 = 297,037.13/x
  3. Step 3: Cross multiply
    136,535.63x = 297,037.13 × 297,037.13
  4. Step 4: Simplify right side
    136,535.63x = 88,231,053,628.27
  5. Step 5: Solve for x
    x = 88,231,053,628.27/136,535.63
  6. Step 6: Final answer
    x = 646,212.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.