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Finding the Third Proportional to 234,808.88 and 507,134.25

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Solution

The third proportional to 234,808.88 and 507,134.25 is: 1,095,295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,808.88 : 507,134.25 = 507,134.25 : x
  2. Step 2: Convert to fraction form
    234,808.88/507,134.25 = 507,134.25/x
  3. Step 3: Cross multiply
    234,808.88x = 507,134.25 × 507,134.25
  4. Step 4: Simplify right side
    234,808.88x = 257,185,147,523.06
  5. Step 5: Solve for x
    x = 257,185,147,523.06/234,808.88
  6. Step 6: Final answer
    x = 1,095,295.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.