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Finding the Third Proportional to 132,698 and 205,473

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Solution

The third proportional to 132,698 and 205,473 is: 318,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,698 : 205,473 = 205,473 : x
  2. Step 2: Convert to fraction form
    132,698/205,473 = 205,473/x
  3. Step 3: Cross multiply
    132,698x = 205,473 × 205,473
  4. Step 4: Simplify right side
    132,698x = 42,219,153,729
  5. Step 5: Solve for x
    x = 42,219,153,729/132,698
  6. Step 6: Final answer
    x = 318,159.68

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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.