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Finding the Third Proportional to 129,525 and 305,320.50

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Solution

The third proportional to 129,525 and 305,320.50 is: 719,711.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,525 : 305,320.50 = 305,320.50 : x
  2. Step 2: Convert to fraction form
    129,525/305,320.50 = 305,320.50/x
  3. Step 3: Cross multiply
    129,525x = 305,320.50 × 305,320.50
  4. Step 4: Simplify right side
    129,525x = 93,220,607,720.25
  5. Step 5: Solve for x
    x = 93,220,607,720.25/129,525
  6. Step 6: Final answer
    x = 719,711.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.