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Finding the Third Proportional to 170,702.63 and 263,754

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Solution

The third proportional to 170,702.63 and 263,754 is: 407,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,702.63 : 263,754 = 263,754 : x
  2. Step 2: Convert to fraction form
    170,702.63/263,754 = 263,754/x
  3. Step 3: Cross multiply
    170,702.63x = 263,754 × 263,754
  4. Step 4: Simplify right side
    170,702.63x = 69,566,172,516
  5. Step 5: Solve for x
    x = 69,566,172,516/170,702.63
  6. Step 6: Final answer
    x = 407,528.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.