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Finding the Third Proportional to 136,004.06 and 296,095.50

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Solution

The third proportional to 136,004.06 and 296,095.50 is: 644,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,004.06 : 296,095.50 = 296,095.50 : x
  2. Step 2: Convert to fraction form
    136,004.06/296,095.50 = 296,095.50/x
  3. Step 3: Cross multiply
    136,004.06x = 296,095.50 × 296,095.50
  4. Step 4: Simplify right side
    136,004.06x = 87,672,545,120.25
  5. Step 5: Solve for x
    x = 87,672,545,120.25/136,004.06
  6. Step 6: Final answer
    x = 644,631.81

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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.