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Finding the Third Proportional to 170,496 and 262,139

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Solution

The third proportional to 170,496 and 262,139 is: 403,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,496 : 262,139 = 262,139 : x
  2. Step 2: Convert to fraction form
    170,496/262,139 = 262,139/x
  3. Step 3: Cross multiply
    170,496x = 262,139 × 262,139
  4. Step 4: Simplify right side
    170,496x = 68,716,855,321
  5. Step 5: Solve for x
    x = 68,716,855,321/170,496
  6. Step 6: Final answer
    x = 403,040.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.