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Finding the Third Proportional to 141,146 and 304,457

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Solution

The third proportional to 141,146 and 304,457 is: 656,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,146 : 304,457 = 304,457 : x
  2. Step 2: Convert to fraction form
    141,146/304,457 = 304,457/x
  3. Step 3: Cross multiply
    141,146x = 304,457 × 304,457
  4. Step 4: Simplify right side
    141,146x = 92,694,064,849
  5. Step 5: Solve for x
    x = 92,694,064,849/141,146
  6. Step 6: Final answer
    x = 656,724.70

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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.