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Finding the Third Proportional to 160,536 and 254,412

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Solution

The third proportional to 160,536 and 254,412 is: 403,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,536 : 254,412 = 254,412 : x
  2. Step 2: Convert to fraction form
    160,536/254,412 = 254,412/x
  3. Step 3: Cross multiply
    160,536x = 254,412 × 254,412
  4. Step 4: Simplify right side
    160,536x = 64,725,465,744
  5. Step 5: Solve for x
    x = 64,725,465,744/160,536
  6. Step 6: Final answer
    x = 403,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.