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Finding the Third Proportional to 141,840 and 302,454

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Solution

The third proportional to 141,840 and 302,454 is: 644,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,840 : 302,454 = 302,454 : x
  2. Step 2: Convert to fraction form
    141,840/302,454 = 302,454/x
  3. Step 3: Cross multiply
    141,840x = 302,454 × 302,454
  4. Step 4: Simplify right side
    141,840x = 91,478,422,116
  5. Step 5: Solve for x
    x = 91,478,422,116/141,840
  6. Step 6: Final answer
    x = 644,940.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.