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Finding the Third Proportional to 137,653.50 and 304,785

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Solution

The third proportional to 137,653.50 and 304,785 is: 674,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,653.50 : 304,785 = 304,785 : x
  2. Step 2: Convert to fraction form
    137,653.50/304,785 = 304,785/x
  3. Step 3: Cross multiply
    137,653.50x = 304,785 × 304,785
  4. Step 4: Simplify right side
    137,653.50x = 92,893,896,225
  5. Step 5: Solve for x
    x = 92,893,896,225/137,653.50
  6. Step 6: Final answer
    x = 674,838.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.