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Finding the Third Proportional to 141,354 and 302,319

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Solution

The third proportional to 141,354 and 302,319 is: 646,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,354 : 302,319 = 302,319 : x
  2. Step 2: Convert to fraction form
    141,354/302,319 = 302,319/x
  3. Step 3: Cross multiply
    141,354x = 302,319 × 302,319
  4. Step 4: Simplify right side
    141,354x = 91,396,777,761
  5. Step 5: Solve for x
    x = 91,396,777,761/141,354
  6. Step 6: Final answer
    x = 646,580.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.