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Finding the Third Proportional to 155,984 and 319,360

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Solution

The third proportional to 155,984 and 319,360 is: 653,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,984 : 319,360 = 319,360 : x
  2. Step 2: Convert to fraction form
    155,984/319,360 = 319,360/x
  3. Step 3: Cross multiply
    155,984x = 319,360 × 319,360
  4. Step 4: Simplify right side
    155,984x = 101,990,809,600
  5. Step 5: Solve for x
    x = 101,990,809,600/155,984
  6. Step 6: Final answer
    x = 653,854.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.