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Finding the Third Proportional to 147,104 and 314,944

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Solution

The third proportional to 147,104 and 314,944 is: 674,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,104 : 314,944 = 314,944 : x
  2. Step 2: Convert to fraction form
    147,104/314,944 = 314,944/x
  3. Step 3: Cross multiply
    147,104x = 314,944 × 314,944
  4. Step 4: Simplify right side
    147,104x = 99,189,723,136
  5. Step 5: Solve for x
    x = 99,189,723,136/147,104
  6. Step 6: Final answer
    x = 674,282.98

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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.