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Finding the Third Proportional to 242,694 and 362,169

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Solution

The third proportional to 242,694 and 362,169 is: 540,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694 : 362,169 = 362,169 : x
  2. Step 2: Convert to fraction form
    242,694/362,169 = 362,169/x
  3. Step 3: Cross multiply
    242,694x = 362,169 × 362,169
  4. Step 4: Simplify right side
    242,694x = 131,166,384,561
  5. Step 5: Solve for x
    x = 131,166,384,561/242,694
  6. Step 6: Final answer
    x = 540,459.94

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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.