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Finding the Third Proportional to 136,030 and 296,152

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Solution

The third proportional to 136,030 and 296,152 is: 644,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,030 : 296,152 = 296,152 : x
  2. Step 2: Convert to fraction form
    136,030/296,152 = 296,152/x
  3. Step 3: Cross multiply
    136,030x = 296,152 × 296,152
  4. Step 4: Simplify right side
    136,030x = 87,706,007,104
  5. Step 5: Solve for x
    x = 87,706,007,104/136,030
  6. Step 6: Final answer
    x = 644,754.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.