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Finding the Third Proportional to 164,346 and 234,854

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Solution

The third proportional to 164,346 and 234,854 is: 335,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346 : 234,854 = 234,854 : x
  2. Step 2: Convert to fraction form
    164,346/234,854 = 234,854/x
  3. Step 3: Cross multiply
    164,346x = 234,854 × 234,854
  4. Step 4: Simplify right side
    164,346x = 55,156,401,316
  5. Step 5: Solve for x
    x = 55,156,401,316/164,346
  6. Step 6: Final answer
    x = 335,611.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.