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Finding the Third Proportional to 145,536 and 217,410

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Solution

The third proportional to 145,536 and 217,410 is: 324,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536 : 217,410 = 217,410 : x
  2. Step 2: Convert to fraction form
    145,536/217,410 = 217,410/x
  3. Step 3: Cross multiply
    145,536x = 217,410 × 217,410
  4. Step 4: Simplify right side
    145,536x = 47,267,108,100
  5. Step 5: Solve for x
    x = 47,267,108,100/145,536
  6. Step 6: Final answer
    x = 324,779.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.