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Finding the Third Proportional to 94,374 and 203,508

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Solution

The third proportional to 94,374 and 203,508 is: 438,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,374 : 203,508 = 203,508 : x
  2. Step 2: Convert to fraction form
    94,374/203,508 = 203,508/x
  3. Step 3: Cross multiply
    94,374x = 203,508 × 203,508
  4. Step 4: Simplify right side
    94,374x = 41,415,506,064
  5. Step 5: Solve for x
    x = 41,415,506,064/94,374
  6. Step 6: Final answer
    x = 438,844.45

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Why These Related Problems?

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