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Finding the Third Proportional to 172,823.63 and 352,508.77

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Solution

The third proportional to 172,823.63 and 352,508.77 is: 719,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,823.63 : 352,508.77 = 352,508.77 : x
  2. Step 2: Convert to fraction form
    172,823.63/352,508.77 = 352,508.77/x
  3. Step 3: Cross multiply
    172,823.63x = 352,508.77 × 352,508.77
  4. Step 4: Simplify right side
    172,823.63x = 124,262,429,842.46
  5. Step 5: Solve for x
    x = 124,262,429,842.46/172,823.63
  6. Step 6: Final answer
    x = 719,012.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.