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Finding the Third Proportional to 137,308.88 and 289,380

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Solution

The third proportional to 137,308.88 and 289,380 is: 609,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.88 : 289,380 = 289,380 : x
  2. Step 2: Convert to fraction form
    137,308.88/289,380 = 289,380/x
  3. Step 3: Cross multiply
    137,308.88x = 289,380 × 289,380
  4. Step 4: Simplify right side
    137,308.88x = 83,740,784,400
  5. Step 5: Solve for x
    x = 83,740,784,400/137,308.88
  6. Step 6: Final answer
    x = 609,871.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.