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Finding the Third Proportional to 174,906 and 247,699.13

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Solution

The third proportional to 174,906 and 247,699.13 is: 350,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,906 : 247,699.13 = 247,699.13 : x
  2. Step 2: Convert to fraction form
    174,906/247,699.13 = 247,699.13/x
  3. Step 3: Cross multiply
    174,906x = 247,699.13 × 247,699.13
  4. Step 4: Simplify right side
    174,906x = 61,354,856,525.77
  5. Step 5: Solve for x
    x = 61,354,856,525.77/174,906
  6. Step 6: Final answer
    x = 350,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.