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Finding the Third Proportional to 132,954.75 and 291,748.50

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Solution

The third proportional to 132,954.75 and 291,748.50 is: 640,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954.75 : 291,748.50 = 291,748.50 : x
  2. Step 2: Convert to fraction form
    132,954.75/291,748.50 = 291,748.50/x
  3. Step 3: Cross multiply
    132,954.75x = 291,748.50 × 291,748.50
  4. Step 4: Simplify right side
    132,954.75x = 85,117,187,252.25
  5. Step 5: Solve for x
    x = 85,117,187,252.25/132,954.75
  6. Step 6: Final answer
    x = 640,196.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.