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Finding the Third Proportional to 141,702 and 306,678

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Solution

The third proportional to 141,702 and 306,678 is: 663,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,702 : 306,678 = 306,678 : x
  2. Step 2: Convert to fraction form
    141,702/306,678 = 306,678/x
  3. Step 3: Cross multiply
    141,702x = 306,678 × 306,678
  4. Step 4: Simplify right side
    141,702x = 94,051,395,684
  5. Step 5: Solve for x
    x = 94,051,395,684/141,702
  6. Step 6: Final answer
    x = 663,726.66

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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.