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Finding the Third Proportional to 167,904 and 232,714.50

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Solution

The third proportional to 167,904 and 232,714.50 is: 322,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,904 : 232,714.50 = 232,714.50 : x
  2. Step 2: Convert to fraction form
    167,904/232,714.50 = 232,714.50/x
  3. Step 3: Cross multiply
    167,904x = 232,714.50 × 232,714.50
  4. Step 4: Simplify right side
    167,904x = 54,156,038,510.25
  5. Step 5: Solve for x
    x = 54,156,038,510.25/167,904
  6. Step 6: Final answer
    x = 322,541.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.