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Finding the Third Proportional to 170,277.75 and 358,200

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Solution

The third proportional to 170,277.75 and 358,200 is: 753,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,277.75 : 358,200 = 358,200 : x
  2. Step 2: Convert to fraction form
    170,277.75/358,200 = 358,200/x
  3. Step 3: Cross multiply
    170,277.75x = 358,200 × 358,200
  4. Step 4: Simplify right side
    170,277.75x = 128,307,240,000
  5. Step 5: Solve for x
    x = 128,307,240,000/170,277.75
  6. Step 6: Final answer
    x = 753,517.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.