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Finding the Third Proportional to 125,302.31 and 295,691.44

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Solution

The third proportional to 125,302.31 and 295,691.44 is: 697,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,302.31 : 295,691.44 = 295,691.44 : x
  2. Step 2: Convert to fraction form
    125,302.31/295,691.44 = 295,691.44/x
  3. Step 3: Cross multiply
    125,302.31x = 295,691.44 × 295,691.44
  4. Step 4: Simplify right side
    125,302.31x = 87,433,426,210.82
  5. Step 5: Solve for x
    x = 87,433,426,210.82/125,302.31
  6. Step 6: Final answer
    x = 697,779.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.