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Finding the Third Proportional to 136,262 and 293,242

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Solution

The third proportional to 136,262 and 293,242 is: 631,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,262 : 293,242 = 293,242 : x
  2. Step 2: Convert to fraction form
    136,262/293,242 = 293,242/x
  3. Step 3: Cross multiply
    136,262x = 293,242 × 293,242
  4. Step 4: Simplify right side
    136,262x = 85,990,870,564
  5. Step 5: Solve for x
    x = 85,990,870,564/136,262
  6. Step 6: Final answer
    x = 631,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.