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Finding the Third Proportional to 154,312 and 327,580

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Solution

The third proportional to 154,312 and 327,580 is: 695,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,312 : 327,580 = 327,580 : x
  2. Step 2: Convert to fraction form
    154,312/327,580 = 327,580/x
  3. Step 3: Cross multiply
    154,312x = 327,580 × 327,580
  4. Step 4: Simplify right side
    154,312x = 107,308,656,400
  5. Step 5: Solve for x
    x = 107,308,656,400/154,312
  6. Step 6: Final answer
    x = 695,400.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.