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Finding the Third Proportional to 98,343 and 149,000.50

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Solution

The third proportional to 98,343 and 149,000.50 is: 225,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,343 : 149,000.50 = 149,000.50 : x
  2. Step 2: Convert to fraction form
    98,343/149,000.50 = 149,000.50/x
  3. Step 3: Cross multiply
    98,343x = 149,000.50 × 149,000.50
  4. Step 4: Simplify right side
    98,343x = 22,201,149,000.25
  5. Step 5: Solve for x
    x = 22,201,149,000.25/98,343
  6. Step 6: Final answer
    x = 225,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.