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Finding the Third Proportional to 136,409 and 296,143

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Solution

The third proportional to 136,409 and 296,143 is: 642,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,409 : 296,143 = 296,143 : x
  2. Step 2: Convert to fraction form
    136,409/296,143 = 296,143/x
  3. Step 3: Cross multiply
    136,409x = 296,143 × 296,143
  4. Step 4: Simplify right side
    136,409x = 87,700,676,449
  5. Step 5: Solve for x
    x = 87,700,676,449/136,409
  6. Step 6: Final answer
    x = 642,924.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.