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Finding the Third Proportional to 132,346 and 205,087

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Solution

The third proportional to 132,346 and 205,087 is: 317,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,346 : 205,087 = 205,087 : x
  2. Step 2: Convert to fraction form
    132,346/205,087 = 205,087/x
  3. Step 3: Cross multiply
    132,346x = 205,087 × 205,087
  4. Step 4: Simplify right side
    132,346x = 42,060,677,569
  5. Step 5: Solve for x
    x = 42,060,677,569/132,346
  6. Step 6: Final answer
    x = 317,808.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.