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Finding the Third Proportional to 141,413 and 304,966

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Solution

The third proportional to 141,413 and 304,966 is: 657,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,413 : 304,966 = 304,966 : x
  2. Step 2: Convert to fraction form
    141,413/304,966 = 304,966/x
  3. Step 3: Cross multiply
    141,413x = 304,966 × 304,966
  4. Step 4: Simplify right side
    141,413x = 93,004,261,156
  5. Step 5: Solve for x
    x = 93,004,261,156/141,413
  6. Step 6: Final answer
    x = 657,678.30

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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.