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Finding the Third Proportional to 109,473 and 236,938

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Solution

The third proportional to 109,473 and 236,938 is: 512,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,473 : 236,938 = 236,938 : x
  2. Step 2: Convert to fraction form
    109,473/236,938 = 236,938/x
  3. Step 3: Cross multiply
    109,473x = 236,938 × 236,938
  4. Step 4: Simplify right side
    109,473x = 56,139,615,844
  5. Step 5: Solve for x
    x = 56,139,615,844/109,473
  6. Step 6: Final answer
    x = 512,817.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.