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Finding the Third Proportional to 234,818 and 356,710

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Solution

The third proportional to 234,818 and 356,710 is: 541,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,818 : 356,710 = 356,710 : x
  2. Step 2: Convert to fraction form
    234,818/356,710 = 356,710/x
  3. Step 3: Cross multiply
    234,818x = 356,710 × 356,710
  4. Step 4: Simplify right side
    234,818x = 127,242,024,100
  5. Step 5: Solve for x
    x = 127,242,024,100/234,818
  6. Step 6: Final answer
    x = 541,875.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.