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Finding the Third Proportional to 141,460 and 305,060

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Solution

The third proportional to 141,460 and 305,060 is: 657,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,460 : 305,060 = 305,060 : x
  2. Step 2: Convert to fraction form
    141,460/305,060 = 305,060/x
  3. Step 3: Cross multiply
    141,460x = 305,060 × 305,060
  4. Step 4: Simplify right side
    141,460x = 93,061,603,600
  5. Step 5: Solve for x
    x = 93,061,603,600/141,460
  6. Step 6: Final answer
    x = 657,865.15

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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.