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Finding the Third Proportional to 238,566 and 357,852

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Solution

The third proportional to 238,566 and 357,852 is: 536,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,566 : 357,852 = 357,852 : x
  2. Step 2: Convert to fraction form
    238,566/357,852 = 357,852/x
  3. Step 3: Cross multiply
    238,566x = 357,852 × 357,852
  4. Step 4: Simplify right side
    238,566x = 128,058,053,904
  5. Step 5: Solve for x
    x = 128,058,053,904/238,566
  6. Step 6: Final answer
    x = 536,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.