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Finding the Third Proportional to 136,216 and 288,814

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Solution

The third proportional to 136,216 and 288,814 is: 612,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,216 : 288,814 = 288,814 : x
  2. Step 2: Convert to fraction form
    136,216/288,814 = 288,814/x
  3. Step 3: Cross multiply
    136,216x = 288,814 × 288,814
  4. Step 4: Simplify right side
    136,216x = 83,413,526,596
  5. Step 5: Solve for x
    x = 83,413,526,596/136,216
  6. Step 6: Final answer
    x = 612,362.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.