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Finding the Third Proportional to 145,976 and 319,216

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Solution

The third proportional to 145,976 and 319,216 is: 698,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,976 : 319,216 = 319,216 : x
  2. Step 2: Convert to fraction form
    145,976/319,216 = 319,216/x
  3. Step 3: Cross multiply
    145,976x = 319,216 × 319,216
  4. Step 4: Simplify right side
    145,976x = 101,898,854,656
  5. Step 5: Solve for x
    x = 101,898,854,656/145,976
  6. Step 6: Final answer
    x = 698,052.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.