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Finding the Third Proportional to 141,448 and 309,140

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Solution

The third proportional to 141,448 and 309,140 is: 675,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,448 : 309,140 = 309,140 : x
  2. Step 2: Convert to fraction form
    141,448/309,140 = 309,140/x
  3. Step 3: Cross multiply
    141,448x = 309,140 × 309,140
  4. Step 4: Simplify right side
    141,448x = 95,567,539,600
  5. Step 5: Solve for x
    x = 95,567,539,600/141,448
  6. Step 6: Final answer
    x = 675,637.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.