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Finding the Third Proportional to 234,852 and 314,607

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Solution

The third proportional to 234,852 and 314,607 is: 421,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,852 : 314,607 = 314,607 : x
  2. Step 2: Convert to fraction form
    234,852/314,607 = 314,607/x
  3. Step 3: Cross multiply
    234,852x = 314,607 × 314,607
  4. Step 4: Simplify right side
    234,852x = 98,977,564,449
  5. Step 5: Solve for x
    x = 98,977,564,449/234,852
  6. Step 6: Final answer
    x = 421,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.