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Finding the Third Proportional to 169,779.38 and 353,511

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Solution

The third proportional to 169,779.38 and 353,511 is: 736,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,779.38 : 353,511 = 353,511 : x
  2. Step 2: Convert to fraction form
    169,779.38/353,511 = 353,511/x
  3. Step 3: Cross multiply
    169,779.38x = 353,511 × 353,511
  4. Step 4: Simplify right side
    169,779.38x = 124,970,027,121
  5. Step 5: Solve for x
    x = 124,970,027,121/169,779.38
  6. Step 6: Final answer
    x = 736,073.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.