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Finding the Third Proportional to 243,648 and 376,548.75

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Solution

The third proportional to 243,648 and 376,548.75 is: 581,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,648 : 376,548.75 = 376,548.75 : x
  2. Step 2: Convert to fraction form
    243,648/376,548.75 = 376,548.75/x
  3. Step 3: Cross multiply
    243,648x = 376,548.75 × 376,548.75
  4. Step 4: Simplify right side
    243,648x = 141,788,961,126.56
  5. Step 5: Solve for x
    x = 141,788,961,126.56/243,648
  6. Step 6: Final answer
    x = 581,941.82

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Why These Related Problems?

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