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Finding the Third Proportional to 160,947 and 254,795.63

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Solution

The third proportional to 160,947 and 254,795.63 is: 403,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,947 : 254,795.63 = 254,795.63 : x
  2. Step 2: Convert to fraction form
    160,947/254,795.63 = 254,795.63/x
  3. Step 3: Cross multiply
    160,947x = 254,795.63 × 254,795.63
  4. Step 4: Simplify right side
    160,947x = 64,920,810,519.14
  5. Step 5: Solve for x
    x = 64,920,810,519.14/160,947
  6. Step 6: Final answer
    x = 403,367.63

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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.