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Finding the Third Proportional to 141,448 and 307,788

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Solution

The third proportional to 141,448 and 307,788 is: 669,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,448 : 307,788 = 307,788 : x
  2. Step 2: Convert to fraction form
    141,448/307,788 = 307,788/x
  3. Step 3: Cross multiply
    141,448x = 307,788 × 307,788
  4. Step 4: Simplify right side
    141,448x = 94,733,452,944
  5. Step 5: Solve for x
    x = 94,733,452,944/141,448
  6. Step 6: Final answer
    x = 669,740.49

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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.