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Finding the Third Proportional to 169,461 and 352,957

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Solution

The third proportional to 169,461 and 352,957 is: 735,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,461 : 352,957 = 352,957 : x
  2. Step 2: Convert to fraction form
    169,461/352,957 = 352,957/x
  3. Step 3: Cross multiply
    169,461x = 352,957 × 352,957
  4. Step 4: Simplify right side
    169,461x = 124,578,643,849
  5. Step 5: Solve for x
    x = 124,578,643,849/169,461
  6. Step 6: Final answer
    x = 735,146.40

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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.