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Finding the Third Proportional to 176,694 and 262,641

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Solution

The third proportional to 176,694 and 262,641 is: 390,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,694 : 262,641 = 262,641 : x
  2. Step 2: Convert to fraction form
    176,694/262,641 = 262,641/x
  3. Step 3: Cross multiply
    176,694x = 262,641 × 262,641
  4. Step 4: Simplify right side
    176,694x = 68,980,294,881
  5. Step 5: Solve for x
    x = 68,980,294,881/176,694
  6. Step 6: Final answer
    x = 390,394.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.