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Finding the Third Proportional to 145,426 and 313,820

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Solution

The third proportional to 145,426 and 313,820 is: 677,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,426 : 313,820 = 313,820 : x
  2. Step 2: Convert to fraction form
    145,426/313,820 = 313,820/x
  3. Step 3: Cross multiply
    145,426x = 313,820 × 313,820
  4. Step 4: Simplify right side
    145,426x = 98,482,992,400
  5. Step 5: Solve for x
    x = 98,482,992,400/145,426
  6. Step 6: Final answer
    x = 677,203.47

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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.