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Finding the Third Proportional to 170,952 and 265,389

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Solution

The third proportional to 170,952 and 265,389 is: 411,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,952 : 265,389 = 265,389 : x
  2. Step 2: Convert to fraction form
    170,952/265,389 = 265,389/x
  3. Step 3: Cross multiply
    170,952x = 265,389 × 265,389
  4. Step 4: Simplify right side
    170,952x = 70,431,321,321
  5. Step 5: Solve for x
    x = 70,431,321,321/170,952
  6. Step 6: Final answer
    x = 411,994.72

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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.