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Finding the Third Proportional to 170,230 and 370,295

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Solution

The third proportional to 170,230 and 370,295 is: 805,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,230 : 370,295 = 370,295 : x
  2. Step 2: Convert to fraction form
    170,230/370,295 = 370,295/x
  3. Step 3: Cross multiply
    170,230x = 370,295 × 370,295
  4. Step 4: Simplify right side
    170,230x = 137,118,387,025
  5. Step 5: Solve for x
    x = 137,118,387,025/170,230
  6. Step 6: Final answer
    x = 805,488.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.