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Finding the Third Proportional to 125,391 and 283,507.50

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Solution

The third proportional to 125,391 and 283,507.50 is: 641,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,391 : 283,507.50 = 283,507.50 : x
  2. Step 2: Convert to fraction form
    125,391/283,507.50 = 283,507.50/x
  3. Step 3: Cross multiply
    125,391x = 283,507.50 × 283,507.50
  4. Step 4: Simplify right side
    125,391x = 80,376,502,556.25
  5. Step 5: Solve for x
    x = 80,376,502,556.25/125,391
  6. Step 6: Final answer
    x = 641,006.95

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.