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Finding the Third Proportional to 159,004 and 238,506

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Solution

The third proportional to 159,004 and 238,506 is: 357,759

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004 : 238,506 = 238,506 : x
  2. Step 2: Convert to fraction form
    159,004/238,506 = 238,506/x
  3. Step 3: Cross multiply
    159,004x = 238,506 × 238,506
  4. Step 4: Simplify right side
    159,004x = 56,885,112,036
  5. Step 5: Solve for x
    x = 56,885,112,036/159,004
  6. Step 6: Final answer
    x = 357,759

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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.