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Finding the Third Proportional to 141,360 and 302,331

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Solution

The third proportional to 141,360 and 302,331 is: 646,604.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,360 : 302,331 = 302,331 : x
  2. Step 2: Convert to fraction form
    141,360/302,331 = 302,331/x
  3. Step 3: Cross multiply
    141,360x = 302,331 × 302,331
  4. Step 4: Simplify right side
    141,360x = 91,404,033,561
  5. Step 5: Solve for x
    x = 91,404,033,561/141,360
  6. Step 6: Final answer
    x = 646,604.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.