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Finding the Third Proportional to 215,360 and 320,938

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Solution

The third proportional to 215,360 and 320,938 is: 478,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,360 : 320,938 = 320,938 : x
  2. Step 2: Convert to fraction form
    215,360/320,938 = 320,938/x
  3. Step 3: Cross multiply
    215,360x = 320,938 × 320,938
  4. Step 4: Simplify right side
    215,360x = 103,001,199,844
  5. Step 5: Solve for x
    x = 103,001,199,844/215,360
  6. Step 6: Final answer
    x = 478,274.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.