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Finding the Third Proportional to 163,694 and 242,931

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Solution

The third proportional to 163,694 and 242,931 is: 360,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,694 : 242,931 = 242,931 : x
  2. Step 2: Convert to fraction form
    163,694/242,931 = 242,931/x
  3. Step 3: Cross multiply
    163,694x = 242,931 × 242,931
  4. Step 4: Simplify right side
    163,694x = 59,015,470,761
  5. Step 5: Solve for x
    x = 59,015,470,761/163,694
  6. Step 6: Final answer
    x = 360,523.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.