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Finding the Third Proportional to 179,646.75 and 281,810.25

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Solution

The third proportional to 179,646.75 and 281,810.25 is: 442,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,646.75 : 281,810.25 = 281,810.25 : x
  2. Step 2: Convert to fraction form
    179,646.75/281,810.25 = 281,810.25/x
  3. Step 3: Cross multiply
    179,646.75x = 281,810.25 × 281,810.25
  4. Step 4: Simplify right side
    179,646.75x = 79,417,017,005.06
  5. Step 5: Solve for x
    x = 79,417,017,005.06/179,646.75
  6. Step 6: Final answer
    x = 442,073.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.