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Finding the Third Proportional to 172,030.50 and 237,714.75

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Solution

The third proportional to 172,030.50 and 237,714.75 is: 328,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,030.50 : 237,714.75 = 237,714.75 : x
  2. Step 2: Convert to fraction form
    172,030.50/237,714.75 = 237,714.75/x
  3. Step 3: Cross multiply
    172,030.50x = 237,714.75 × 237,714.75
  4. Step 4: Simplify right side
    172,030.50x = 56,508,302,367.56
  5. Step 5: Solve for x
    x = 56,508,302,367.56/172,030.50
  6. Step 6: Final answer
    x = 328,478.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.