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Finding the Third Proportional to 149,506 and 318,388

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Solution

The third proportional to 149,506 and 318,388 is: 678,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,506 : 318,388 = 318,388 : x
  2. Step 2: Convert to fraction form
    149,506/318,388 = 318,388/x
  3. Step 3: Cross multiply
    149,506x = 318,388 × 318,388
  4. Step 4: Simplify right side
    149,506x = 101,370,918,544
  5. Step 5: Solve for x
    x = 101,370,918,544/149,506
  6. Step 6: Final answer
    x = 678,039.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.