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Finding the Third Proportional to 132,210 and 257,778

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Solution

The third proportional to 132,210 and 257,778 is: 502,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,210 : 257,778 = 257,778 : x
  2. Step 2: Convert to fraction form
    132,210/257,778 = 257,778/x
  3. Step 3: Cross multiply
    132,210x = 257,778 × 257,778
  4. Step 4: Simplify right side
    132,210x = 66,449,497,284
  5. Step 5: Solve for x
    x = 66,449,497,284/132,210
  6. Step 6: Final answer
    x = 502,605.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.