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Finding the Third Proportional to 170,186 and 282,658

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Solution

The third proportional to 170,186 and 282,658 is: 469,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,186 : 282,658 = 282,658 : x
  2. Step 2: Convert to fraction form
    170,186/282,658 = 282,658/x
  3. Step 3: Cross multiply
    170,186x = 282,658 × 282,658
  4. Step 4: Simplify right side
    170,186x = 79,895,544,964
  5. Step 5: Solve for x
    x = 79,895,544,964/170,186
  6. Step 6: Final answer
    x = 469,460.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.