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Finding the Third Proportional to 182,688 and 286,653

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Solution

The third proportional to 182,688 and 286,653 is: 449,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,688 : 286,653 = 286,653 : x
  2. Step 2: Convert to fraction form
    182,688/286,653 = 286,653/x
  3. Step 3: Cross multiply
    182,688x = 286,653 × 286,653
  4. Step 4: Simplify right side
    182,688x = 82,169,942,409
  5. Step 5: Solve for x
    x = 82,169,942,409/182,688
  6. Step 6: Final answer
    x = 449,782.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.