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Finding the Third Proportional to 162,778 and 351,875

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Solution

The third proportional to 162,778 and 351,875 is: 760,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,778 : 351,875 = 351,875 : x
  2. Step 2: Convert to fraction form
    162,778/351,875 = 351,875/x
  3. Step 3: Cross multiply
    162,778x = 351,875 × 351,875
  4. Step 4: Simplify right side
    162,778x = 123,816,015,625
  5. Step 5: Solve for x
    x = 123,816,015,625/162,778
  6. Step 6: Final answer
    x = 760,643.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.