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Finding the Third Proportional to 170,076 and 370,122

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Solution

The third proportional to 170,076 and 370,122 is: 805,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,076 : 370,122 = 370,122 : x
  2. Step 2: Convert to fraction form
    170,076/370,122 = 370,122/x
  3. Step 3: Cross multiply
    170,076x = 370,122 × 370,122
  4. Step 4: Simplify right side
    170,076x = 136,990,294,884
  5. Step 5: Solve for x
    x = 136,990,294,884/170,076
  6. Step 6: Final answer
    x = 805,465.17

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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.