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Finding the Third Proportional to 278,842.13 and 376,223.63

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Solution

The third proportional to 278,842.13 and 376,223.63 is: 507,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,842.13 : 376,223.63 = 376,223.63 : x
  2. Step 2: Convert to fraction form
    278,842.13/376,223.63 = 376,223.63/x
  3. Step 3: Cross multiply
    278,842.13x = 376,223.63 × 376,223.63
  4. Step 4: Simplify right side
    278,842.13x = 141,544,216,008.14
  5. Step 5: Solve for x
    x = 141,544,216,008.14/278,842.13
  6. Step 6: Final answer
    x = 507,614.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.