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Finding the Third Proportional to 190,569.38 and 402,279.75

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Solution

The third proportional to 190,569.38 and 402,279.75 is: 849,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,569.38 : 402,279.75 = 402,279.75 : x
  2. Step 2: Convert to fraction form
    190,569.38/402,279.75 = 402,279.75/x
  3. Step 3: Cross multiply
    190,569.38x = 402,279.75 × 402,279.75
  4. Step 4: Simplify right side
    190,569.38x = 161,828,997,260.06
  5. Step 5: Solve for x
    x = 161,828,997,260.06/190,569.38
  6. Step 6: Final answer
    x = 849,186.80

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.