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Finding the Third Proportional to 141,476 and 304,020

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Solution

The third proportional to 141,476 and 304,020 is: 653,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,476 : 304,020 = 304,020 : x
  2. Step 2: Convert to fraction form
    141,476/304,020 = 304,020/x
  3. Step 3: Cross multiply
    141,476x = 304,020 × 304,020
  4. Step 4: Simplify right side
    141,476x = 92,428,160,400
  5. Step 5: Solve for x
    x = 92,428,160,400/141,476
  6. Step 6: Final answer
    x = 653,313.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.