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Finding the Third Proportional to 141,246 and 310,376

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Solution

The third proportional to 141,246 and 310,376 is: 682,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,246 : 310,376 = 310,376 : x
  2. Step 2: Convert to fraction form
    141,246/310,376 = 310,376/x
  3. Step 3: Cross multiply
    141,246x = 310,376 × 310,376
  4. Step 4: Simplify right side
    141,246x = 96,333,261,376
  5. Step 5: Solve for x
    x = 96,333,261,376/141,246
  6. Step 6: Final answer
    x = 682,024.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.