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Finding the Third Proportional to 137,661 and 304,801.13

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Solution

The third proportional to 137,661 and 304,801.13 is: 674,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,661 : 304,801.13 = 304,801.13 : x
  2. Step 2: Convert to fraction form
    137,661/304,801.13 = 304,801.13/x
  3. Step 3: Cross multiply
    137,661x = 304,801.13 × 304,801.13
  4. Step 4: Simplify right side
    137,661x = 92,903,725,801.27
  5. Step 5: Solve for x
    x = 92,903,725,801.27/137,661
  6. Step 6: Final answer
    x = 674,873.25

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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.