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Finding the Third Proportional to 137,436 and 201,240

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Solution

The third proportional to 137,436 and 201,240 is: 294,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,436 : 201,240 = 201,240 : x
  2. Step 2: Convert to fraction form
    137,436/201,240 = 201,240/x
  3. Step 3: Cross multiply
    137,436x = 201,240 × 201,240
  4. Step 4: Simplify right side
    137,436x = 40,497,537,600
  5. Step 5: Solve for x
    x = 40,497,537,600/137,436
  6. Step 6: Final answer
    x = 294,664.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.