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Finding the Third Proportional to 149,202 and 320,490

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Solution

The third proportional to 149,202 and 320,490 is: 688,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202 : 320,490 = 320,490 : x
  2. Step 2: Convert to fraction form
    149,202/320,490 = 320,490/x
  3. Step 3: Cross multiply
    149,202x = 320,490 × 320,490
  4. Step 4: Simplify right side
    149,202x = 102,713,840,100
  5. Step 5: Solve for x
    x = 102,713,840,100/149,202
  6. Step 6: Final answer
    x = 688,421.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.