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Finding the Third Proportional to 141,901.50 and 310,446

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Solution

The third proportional to 141,901.50 and 310,446 is: 679,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,901.50 : 310,446 = 310,446 : x
  2. Step 2: Convert to fraction form
    141,901.50/310,446 = 310,446/x
  3. Step 3: Cross multiply
    141,901.50x = 310,446 × 310,446
  4. Step 4: Simplify right side
    141,901.50x = 96,376,718,916
  5. Step 5: Solve for x
    x = 96,376,718,916/141,901.50
  6. Step 6: Final answer
    x = 679,180.41

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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.