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Finding the Third Proportional to 159,502.50 and 347,982

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Solution

The third proportional to 159,502.50 and 347,982 is: 759,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,502.50 : 347,982 = 347,982 : x
  2. Step 2: Convert to fraction form
    159,502.50/347,982 = 347,982/x
  3. Step 3: Cross multiply
    159,502.50x = 347,982 × 347,982
  4. Step 4: Simplify right side
    159,502.50x = 121,091,472,324
  5. Step 5: Solve for x
    x = 121,091,472,324/159,502.50
  6. Step 6: Final answer
    x = 759,182.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.