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Finding the Third Proportional to 136,004 and 296,205

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Solution

The third proportional to 136,004 and 296,205 is: 645,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,004 : 296,205 = 296,205 : x
  2. Step 2: Convert to fraction form
    136,004/296,205 = 296,205/x
  3. Step 3: Cross multiply
    136,004x = 296,205 × 296,205
  4. Step 4: Simplify right side
    136,004x = 87,737,402,025
  5. Step 5: Solve for x
    x = 87,737,402,025/136,004
  6. Step 6: Final answer
    x = 645,108.98

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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.