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Finding the Third Proportional to 231,031.06 and 344,624.07

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Solution

The third proportional to 231,031.06 and 344,624.07 is: 514,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,031.06 : 344,624.07 = 344,624.07 : x
  2. Step 2: Convert to fraction form
    231,031.06/344,624.07 = 344,624.07/x
  3. Step 3: Cross multiply
    231,031.06x = 344,624.07 × 344,624.07
  4. Step 4: Simplify right side
    231,031.06x = 118,765,750,511.85
  5. Step 5: Solve for x
    x = 118,765,750,511.85/231,031.06
  6. Step 6: Final answer
    x = 514,068.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.