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Finding the Third Proportional to 252,400 and 544,148

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Solution

The third proportional to 252,400 and 544,148 is: 1,173,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,400 : 544,148 = 544,148 : x
  2. Step 2: Convert to fraction form
    252,400/544,148 = 544,148/x
  3. Step 3: Cross multiply
    252,400x = 544,148 × 544,148
  4. Step 4: Simplify right side
    252,400x = 296,097,045,904
  5. Step 5: Solve for x
    x = 296,097,045,904/252,400
  6. Step 6: Final answer
    x = 1,173,126.17

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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.