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Finding the Third Proportional to 141,654 and 309,066

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Solution

The third proportional to 141,654 and 309,066 is: 674,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,654 : 309,066 = 309,066 : x
  2. Step 2: Convert to fraction form
    141,654/309,066 = 309,066/x
  3. Step 3: Cross multiply
    141,654x = 309,066 × 309,066
  4. Step 4: Simplify right side
    141,654x = 95,521,792,356
  5. Step 5: Solve for x
    x = 95,521,792,356/141,654
  6. Step 6: Final answer
    x = 674,331.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.