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Finding the Third Proportional to 141,292 and 306,884

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Solution

The third proportional to 141,292 and 306,884 is: 666,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,292 : 306,884 = 306,884 : x
  2. Step 2: Convert to fraction form
    141,292/306,884 = 306,884/x
  3. Step 3: Cross multiply
    141,292x = 306,884 × 306,884
  4. Step 4: Simplify right side
    141,292x = 94,177,789,456
  5. Step 5: Solve for x
    x = 94,177,789,456/141,292
  6. Step 6: Final answer
    x = 666,547.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.