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Finding the Third Proportional to 160,954 and 254,806.50

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Solution

The third proportional to 160,954 and 254,806.50 is: 403,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,954 : 254,806.50 = 254,806.50 : x
  2. Step 2: Convert to fraction form
    160,954/254,806.50 = 254,806.50/x
  3. Step 3: Cross multiply
    160,954x = 254,806.50 × 254,806.50
  4. Step 4: Simplify right side
    160,954x = 64,926,352,442.25
  5. Step 5: Solve for x
    x = 64,926,352,442.25/160,954
  6. Step 6: Final answer
    x = 403,384.52

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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.