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Finding the Third Proportional to 243,733.50 and 376,664.63

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Solution

The third proportional to 243,733.50 and 376,664.63 is: 582,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,733.50 : 376,664.63 = 376,664.63 : x
  2. Step 2: Convert to fraction form
    243,733.50/376,664.63 = 376,664.63/x
  3. Step 3: Cross multiply
    243,733.50x = 376,664.63 × 376,664.63
  4. Step 4: Simplify right side
    243,733.50x = 141,876,239,726.39
  5. Step 5: Solve for x
    x = 141,876,239,726.39/243,733.50
  6. Step 6: Final answer
    x = 582,095.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.