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Finding the Third Proportional to 170,826 and 249,653

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Solution

The third proportional to 170,826 and 249,653 is: 364,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,826 : 249,653 = 249,653 : x
  2. Step 2: Convert to fraction form
    170,826/249,653 = 249,653/x
  3. Step 3: Cross multiply
    170,826x = 249,653 × 249,653
  4. Step 4: Simplify right side
    170,826x = 62,326,620,409
  5. Step 5: Solve for x
    x = 62,326,620,409/170,826
  6. Step 6: Final answer
    x = 364,854.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.