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Finding the Third Proportional to 141,497 and 307,111

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Solution

The third proportional to 141,497 and 307,111 is: 666,566.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,497 : 307,111 = 307,111 : x
  2. Step 2: Convert to fraction form
    141,497/307,111 = 307,111/x
  3. Step 3: Cross multiply
    141,497x = 307,111 × 307,111
  4. Step 4: Simplify right side
    141,497x = 94,317,166,321
  5. Step 5: Solve for x
    x = 94,317,166,321/141,497
  6. Step 6: Final answer
    x = 666,566.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.