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Finding the Third Proportional to 160,975.16 and 254,841.03

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Solution

The third proportional to 160,975.16 and 254,841.03 is: 403,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,975.16 : 254,841.03 = 254,841.03 : x
  2. Step 2: Convert to fraction form
    160,975.16/254,841.03 = 254,841.03/x
  3. Step 3: Cross multiply
    160,975.16x = 254,841.03 × 254,841.03
  4. Step 4: Simplify right side
    160,975.16x = 64,943,950,213.09
  5. Step 5: Solve for x
    x = 64,943,950,213.09/160,975.16
  6. Step 6: Final answer
    x = 403,440.82

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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.