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Finding the Third Proportional to 146,344.50 and 314,525

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Solution

The third proportional to 146,344.50 and 314,525 is: 675,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,344.50 : 314,525 = 314,525 : x
  2. Step 2: Convert to fraction form
    146,344.50/314,525 = 314,525/x
  3. Step 3: Cross multiply
    146,344.50x = 314,525 × 314,525
  4. Step 4: Simplify right side
    146,344.50x = 98,925,975,625
  5. Step 5: Solve for x
    x = 98,925,975,625/146,344.50
  6. Step 6: Final answer
    x = 675,980.14

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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.