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Finding the Third Proportional to 170,983 and 265,410

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Solution

The third proportional to 170,983 and 265,410 is: 411,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,983 : 265,410 = 265,410 : x
  2. Step 2: Convert to fraction form
    170,983/265,410 = 265,410/x
  3. Step 3: Cross multiply
    170,983x = 265,410 × 265,410
  4. Step 4: Simplify right side
    170,983x = 70,442,468,100
  5. Step 5: Solve for x
    x = 70,442,468,100/170,983
  6. Step 6: Final answer
    x = 411,985.22

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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.