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Finding the Third Proportional to 250,968 and 357,747

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Solution

The third proportional to 250,968 and 357,747 is: 509,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,968 : 357,747 = 357,747 : x
  2. Step 2: Convert to fraction form
    250,968/357,747 = 357,747/x
  3. Step 3: Cross multiply
    250,968x = 357,747 × 357,747
  4. Step 4: Simplify right side
    250,968x = 127,982,916,009
  5. Step 5: Solve for x
    x = 127,982,916,009/250,968
  6. Step 6: Final answer
    x = 509,957.11

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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.