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Finding the Third Proportional to 141,452 and 305,044

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Solution

The third proportional to 141,452 and 305,044 is: 657,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,452 : 305,044 = 305,044 : x
  2. Step 2: Convert to fraction form
    141,452/305,044 = 305,044/x
  3. Step 3: Cross multiply
    141,452x = 305,044 × 305,044
  4. Step 4: Simplify right side
    141,452x = 93,051,841,936
  5. Step 5: Solve for x
    x = 93,051,841,936/141,452
  6. Step 6: Final answer
    x = 657,833.34

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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.