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Finding the Third Proportional to 145,536 and 303,360

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Solution

The third proportional to 145,536 and 303,360 is: 632,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536 : 303,360 = 303,360 : x
  2. Step 2: Convert to fraction form
    145,536/303,360 = 303,360/x
  3. Step 3: Cross multiply
    145,536x = 303,360 × 303,360
  4. Step 4: Simplify right side
    145,536x = 92,027,289,600
  5. Step 5: Solve for x
    x = 92,027,289,600/145,536
  6. Step 6: Final answer
    x = 632,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.