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Finding the Third Proportional to 145,796 and 313,952

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Solution

The third proportional to 145,796 and 313,952 is: 676,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,796 : 313,952 = 313,952 : x
  2. Step 2: Convert to fraction form
    145,796/313,952 = 313,952/x
  3. Step 3: Cross multiply
    145,796x = 313,952 × 313,952
  4. Step 4: Simplify right side
    145,796x = 98,565,858,304
  5. Step 5: Solve for x
    x = 98,565,858,304/145,796
  6. Step 6: Final answer
    x = 676,053.24

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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.