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Finding the Third Proportional to 134,925 and 297,006

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Solution

The third proportional to 134,925 and 297,006 is: 653,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,925 : 297,006 = 297,006 : x
  2. Step 2: Convert to fraction form
    134,925/297,006 = 297,006/x
  3. Step 3: Cross multiply
    134,925x = 297,006 × 297,006
  4. Step 4: Simplify right side
    134,925x = 88,212,564,036
  5. Step 5: Solve for x
    x = 88,212,564,036/134,925
  6. Step 6: Final answer
    x = 653,789.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.