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Finding the Third Proportional to 140,463 and 307,201

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Solution

The third proportional to 140,463 and 307,201 is: 671,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,463 : 307,201 = 307,201 : x
  2. Step 2: Convert to fraction form
    140,463/307,201 = 307,201/x
  3. Step 3: Cross multiply
    140,463x = 307,201 × 307,201
  4. Step 4: Simplify right side
    140,463x = 94,372,454,401
  5. Step 5: Solve for x
    x = 94,372,454,401/140,463
  6. Step 6: Final answer
    x = 671,867.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.