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Finding the Third Proportional to 133,341.75 and 291,591

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Solution

The third proportional to 133,341.75 and 291,591 is: 637,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341.75 : 291,591 = 291,591 : x
  2. Step 2: Convert to fraction form
    133,341.75/291,591 = 291,591/x
  3. Step 3: Cross multiply
    133,341.75x = 291,591 × 291,591
  4. Step 4: Simplify right side
    133,341.75x = 85,025,311,281
  5. Step 5: Solve for x
    x = 85,025,311,281/133,341.75
  6. Step 6: Final answer
    x = 637,649.58

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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.