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Finding the Third Proportional to 144,944 and 325,514

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Solution

The third proportional to 144,944 and 325,514 is: 731,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,944 : 325,514 = 325,514 : x
  2. Step 2: Convert to fraction form
    144,944/325,514 = 325,514/x
  3. Step 3: Cross multiply
    144,944x = 325,514 × 325,514
  4. Step 4: Simplify right side
    144,944x = 105,959,364,196
  5. Step 5: Solve for x
    x = 105,959,364,196/144,944
  6. Step 6: Final answer
    x = 731,036.57

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.