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Finding the Third Proportional to 170,742.25 and 250,577.50

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Solution

The third proportional to 170,742.25 and 250,577.50 is: 367,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742.25 : 250,577.50 = 250,577.50 : x
  2. Step 2: Convert to fraction form
    170,742.25/250,577.50 = 250,577.50/x
  3. Step 3: Cross multiply
    170,742.25x = 250,577.50 × 250,577.50
  4. Step 4: Simplify right side
    170,742.25x = 62,789,083,506.25
  5. Step 5: Solve for x
    x = 62,789,083,506.25/170,742.25
  6. Step 6: Final answer
    x = 367,741.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.