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Finding the Third Proportional to 243,648 and 364,464

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Solution

The third proportional to 243,648 and 364,464 is: 545,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,648 : 364,464 = 364,464 : x
  2. Step 2: Convert to fraction form
    243,648/364,464 = 364,464/x
  3. Step 3: Cross multiply
    243,648x = 364,464 × 364,464
  4. Step 4: Simplify right side
    243,648x = 132,834,007,296
  5. Step 5: Solve for x
    x = 132,834,007,296/243,648
  6. Step 6: Final answer
    x = 545,188.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.