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Finding the Third Proportional to 136,683 and 295,829

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Solution

The third proportional to 136,683 and 295,829 is: 640,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,683 : 295,829 = 295,829 : x
  2. Step 2: Convert to fraction form
    136,683/295,829 = 295,829/x
  3. Step 3: Cross multiply
    136,683x = 295,829 × 295,829
  4. Step 4: Simplify right side
    136,683x = 87,514,797,241
  5. Step 5: Solve for x
    x = 87,514,797,241/136,683
  6. Step 6: Final answer
    x = 640,275.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.