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Finding the Third Proportional to 148,534.50 and 309,309

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Solution

The third proportional to 148,534.50 and 309,309 is: 644,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,534.50 : 309,309 = 309,309 : x
  2. Step 2: Convert to fraction form
    148,534.50/309,309 = 309,309/x
  3. Step 3: Cross multiply
    148,534.50x = 309,309 × 309,309
  4. Step 4: Simplify right side
    148,534.50x = 95,672,057,481
  5. Step 5: Solve for x
    x = 95,672,057,481/148,534.50
  6. Step 6: Final answer
    x = 644,106.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.