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Finding the Third Proportional to 148,909 and 318,595

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Solution

The third proportional to 148,909 and 318,595 is: 681,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,909 : 318,595 = 318,595 : x
  2. Step 2: Convert to fraction form
    148,909/318,595 = 318,595/x
  3. Step 3: Cross multiply
    148,909x = 318,595 × 318,595
  4. Step 4: Simplify right side
    148,909x = 101,502,774,025
  5. Step 5: Solve for x
    x = 101,502,774,025/148,909
  6. Step 6: Final answer
    x = 681,642.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.