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Finding the Third Proportional to 119,655 and 185,252

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Solution

The third proportional to 119,655 and 185,252 is: 286,810.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,655 : 185,252 = 185,252 : x
  2. Step 2: Convert to fraction form
    119,655/185,252 = 185,252/x
  3. Step 3: Cross multiply
    119,655x = 185,252 × 185,252
  4. Step 4: Simplify right side
    119,655x = 34,318,303,504
  5. Step 5: Solve for x
    x = 34,318,303,504/119,655
  6. Step 6: Final answer
    x = 286,810.44

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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.