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Finding the Third Proportional to 169,460 and 352,955

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Solution

The third proportional to 169,460 and 352,955 is: 735,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,460 : 352,955 = 352,955 : x
  2. Step 2: Convert to fraction form
    169,460/352,955 = 352,955/x
  3. Step 3: Cross multiply
    169,460x = 352,955 × 352,955
  4. Step 4: Simplify right side
    169,460x = 124,577,232,025
  5. Step 5: Solve for x
    x = 124,577,232,025/169,460
  6. Step 6: Final answer
    x = 735,142.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.