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Finding the Third Proportional to 149,250 and 307,260

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Solution

The third proportional to 149,250 and 307,260 is: 632,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,250 : 307,260 = 307,260 : x
  2. Step 2: Convert to fraction form
    149,250/307,260 = 307,260/x
  3. Step 3: Cross multiply
    149,250x = 307,260 × 307,260
  4. Step 4: Simplify right side
    149,250x = 94,408,707,600
  5. Step 5: Solve for x
    x = 94,408,707,600/149,250
  6. Step 6: Final answer
    x = 632,554.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.