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Finding the Third Proportional to 145,784 and 313,928

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Solution

The third proportional to 145,784 and 313,928 is: 676,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,784 : 313,928 = 313,928 : x
  2. Step 2: Convert to fraction form
    145,784/313,928 = 313,928/x
  3. Step 3: Cross multiply
    145,784x = 313,928 × 313,928
  4. Step 4: Simplify right side
    145,784x = 98,550,789,184
  5. Step 5: Solve for x
    x = 98,550,789,184/145,784
  6. Step 6: Final answer
    x = 676,005.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.