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Finding the Third Proportional to 108,590.63 and 253,722.38

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Solution

The third proportional to 108,590.63 and 253,722.38 is: 592,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,590.63 : 253,722.38 = 253,722.38 : x
  2. Step 2: Convert to fraction form
    108,590.63/253,722.38 = 253,722.38/x
  3. Step 3: Cross multiply
    108,590.63x = 253,722.38 × 253,722.38
  4. Step 4: Simplify right side
    108,590.63x = 64,375,043,575.64
  5. Step 5: Solve for x
    x = 64,375,043,575.64/108,590.63
  6. Step 6: Final answer
    x = 592,823.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.