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Finding the Third Proportional to 241,038 and 344,344.50

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Solution

The third proportional to 241,038 and 344,344.50 is: 491,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,038 : 344,344.50 = 344,344.50 : x
  2. Step 2: Convert to fraction form
    241,038/344,344.50 = 344,344.50/x
  3. Step 3: Cross multiply
    241,038x = 344,344.50 × 344,344.50
  4. Step 4: Simplify right side
    241,038x = 118,573,134,680.25
  5. Step 5: Solve for x
    x = 118,573,134,680.25/241,038
  6. Step 6: Final answer
    x = 491,927.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.