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Finding the Third Proportional to 141,441 and 308,130

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Solution

The third proportional to 141,441 and 308,130 is: 671,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,441 : 308,130 = 308,130 : x
  2. Step 2: Convert to fraction form
    141,441/308,130 = 308,130/x
  3. Step 3: Cross multiply
    141,441x = 308,130 × 308,130
  4. Step 4: Simplify right side
    141,441x = 94,944,096,900
  5. Step 5: Solve for x
    x = 94,944,096,900/141,441
  6. Step 6: Final answer
    x = 671,262.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.