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Finding the Third Proportional to 238,929.75 and 314,563.50

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Solution

The third proportional to 238,929.75 and 314,563.50 is: 414,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,929.75 : 314,563.50 = 314,563.50 : x
  2. Step 2: Convert to fraction form
    238,929.75/314,563.50 = 314,563.50/x
  3. Step 3: Cross multiply
    238,929.75x = 314,563.50 × 314,563.50
  4. Step 4: Simplify right side
    238,929.75x = 98,950,195,532.25
  5. Step 5: Solve for x
    x = 98,950,195,532.25/238,929.75
  6. Step 6: Final answer
    x = 414,139.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.