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Finding the Third Proportional to 159,615.56 and 233,285.06

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Solution

The third proportional to 159,615.56 and 233,285.06 is: 340,956.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,615.56 : 233,285.06 = 233,285.06 : x
  2. Step 2: Convert to fraction form
    159,615.56/233,285.06 = 233,285.06/x
  3. Step 3: Cross multiply
    159,615.56x = 233,285.06 × 233,285.06
  4. Step 4: Simplify right side
    159,615.56x = 54,421,920,385.63
  5. Step 5: Solve for x
    x = 54,421,920,385.63/159,615.56
  6. Step 6: Final answer
    x = 340,956.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.